{"id":23134,"date":"2022-07-24T19:57:00","date_gmt":"2022-07-24T14:27:00","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=23134"},"modified":"2022-11-18T13:38:02","modified_gmt":"2022-11-18T08:08:02","slug":"properties-of-numbers-even-odd-prime-hcf-lcm","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/","title":{"rendered":"Properties of Numbers &#8211; Even &#038; Odd | Prime | HCF &#038; LCM"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">8<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<p>Hello Reader,<\/p>\n\n\n\n<p>We see that you want to know the basics and properties of numbers.<\/p>\n\n\n\n<p><em>You have landed just at the right place.&nbsp;<\/em><\/p>\n\n\n\n<h2 id=\"h-purpose-of-the-article\">Purpose of the article:<\/h2>\n\n\n\n<p>In this article,<\/p>\n\n\n\n<ul><li>You will get a deeper idea about the behavior of numbers and its operations<\/li><li>You will also get to know a few facts about the properties of the numbers.<\/li><\/ul>\n\n\n\n<p>So, let\u2019s get straight into the article.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"1024\" height=\"576\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers-1024x576.jpg\" alt=\"Properties of Numbers - Even and Odd - Prime numbers - HCF and LCM\" class=\"wp-image-23139\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers-1024x576.jpg 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers-300x169.jpg 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers-768x432.jpg 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers-1080x608.jpg 1080w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg 1920w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h1 id=\"h-properties-of-numbers-even-odd\">Properties of numbers: Even \u2013 Odd<\/h1>\n\n\n\n<h2 id=\"h-even-numbers\">Even Numbers<\/h2>\n\n\n\n<ul><li>Any integer that is a multiple of 2 is an even number.<\/li><li>So, any integer which is in the form of 2k, where k is an integer, is an even number<\/li><li>So, all integers that end with 0, 2, 4, 6 or 8 are even numbers<\/li><\/ul>\n\n\n\n<p><u>E\u00d7ample<\/u>: 4, 56, 98, 200 are all even numbers<\/p>\n\n\n\n<h2 id=\"h-odd-numbers\">Odd Numbers<img loading=\"lazy\" class=\" wp-image-23137 alignright\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-1024x768.jpg\" alt=\"Properties of numbers - even and odd numbers\" width=\"451\" height=\"338\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-1024x768.jpg 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-300x225.jpg 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-768x576.jpg 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-510x382.jpg 510w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-even-and-odd-numbers-1080x810.jpg 1080w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/h2>\n\n\n\n<ul><li>Any integer which is not an even number is an odd number<\/li><li>Or, in other words, an integer that is <em><u>not<\/u><\/em> a multiple of 2 is an odd number<\/li><li>So, any integer which is in the form of 2k \u00b1 1, where k is an integer, is an odd number<\/li><li>So, all integers that end with 1, 3, 5, 7 or 9 are odd numbers<\/li><\/ul>\n\n\n\n<p><u>Example<\/u>: 7, 31, 75, 499 are all odd numbers<\/p>\n\n\n\n<p><strong>Note: <\/strong>There is an odd number between every two consecutive even numbers.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>According to the definitions given above is 0 an even or an odd number?<\/p><\/blockquote>\n\n\n\n<h2 id=\"h-properties-of-numbers-even-and-odd-number-properties\">Properties of numbers: Even and Odd number properties<\/h2>\n\n\n\n<p>Now that we know what are even and odd numbers, let\u2019s see their properties.<\/p>\n\n\n<div class='three_fourth'>\n\t\t\t\t\t<table width=\"638\">\n<tbody>\n<tr>\n<td width=\"114\"><strong>Number 1<\/strong><\/td>\n<td width=\"41\"><strong>Operation<\/strong><\/td>\n<td width=\"100\"><strong>Number 2<\/strong><\/td>\n<td width=\"46\"><strong>\u00a0<\/strong><\/td>\n<td width=\"177\"><strong>Outcome<\/strong><\/td>\n<td width=\"160\"><strong>E<\/strong><strong>xamples<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00b1<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 + 2 = 4<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u2013 2 = 2<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00b1<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 + 1 = 5<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u2013 1 = 3<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00b1<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 + 2 = 7<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 \u2013 2 = 3<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00b1<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 + 3 = 8<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5 \u2013 3 = 2<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00d7<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 \u00d7 4 = 8<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00d7<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 \u00d7 3 = 6<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00d7<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00d7 2 = 6<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00d7<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00d7 5 = 15<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00f7<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff0000;\">May or may not be an integer<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00f7 2 = 2<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 \u00f7 4 = 0.5<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #008000;\"><strong>Even<\/strong><\/span><\/td>\n<td width=\"41\">\u00f7<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff0000;\">May or may not be an integer<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00f7 1 = 4<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4 \u00f7 3 = 1.33<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00f7<\/td>\n<td width=\"100\"><span style=\"color: #008000;\">Even<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff0000;\">Not an integer<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00f7 2 = 1.5<\/td>\n<\/tr>\n<tr>\n<td width=\"114\"><span style=\"color: #ff9900;\"><strong>Odd<\/strong><\/span><\/td>\n<td width=\"41\">\u00f7<\/td>\n<td width=\"100\"><span style=\"color: #ff9900;\">Odd<\/span><\/td>\n<td width=\"46\">=<\/td>\n<td width=\"177\"><span style=\"color: #ff0000;\">May or may not be an integer<\/span><\/td>\n<td width=\"160\">\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00f7 1 = 3<\/p>\n<p>\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1 \u00f7 3 = 0.33<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div>\n\n\n<div class='one_fourth et_column_last'>\n\t\t\t\t\t\n\t\t\t\t<\/div><div class='clear'><\/div>\n\n\n\n<h2 id=\"h-properties-of-numbers-prime-numbers\">Properties of Numbers: Prime Numbers<img loading=\"lazy\" class=\" wp-image-23138 alignright\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-1024x1024.jpg\" alt=\"Properties of numbers - prime numbers\" width=\"450\" height=\"450\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-1024x1024.jpg 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-150x150.jpg 150w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-300x300.jpg 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-768x768.jpg 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-prime-numbers-1080x1080.jpg 1080w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/h2>\n\n\n\n<h3 id=\"h-definition\">Definition<\/h3>\n\n\n\n<ul><li>A number which is divisible by only two number, 1 and the number itself, is called a prime number<\/li><\/ul>\n\n\n\n<p><u>Example<\/u>: 2, 3, 5, 7, 11\u2026\u2026\u2026.<\/p>\n\n\n\n<p><strong>Note:<\/strong> 2 is the only prime number, which is even, because all other even numbers will be divisible by at least three numbers, 1, 2 and the number itself.<\/p>\n\n\n\n<ul><li>Every positive integer can be expressed as a product of one or more prime numbers<\/li><\/ul>\n\n\n\n<p><u>Example<\/u>: 55 = 5 * 11, where 5 and 11 are two prime numbers<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Based on the above definition, Is 1 a prime number?<\/p><\/blockquote>\n\n\n\n<p><em>So, we know what is a prime number, but how do we check whether a given number is prime or not?<\/em><\/p>\n\n\n\n<h2 id=\"h-what-is-the-process-to-check-whether-a-given-number-is-prime-or-not\">What is the process to check whether a given number is prime or not?<\/h2>\n\n\n\n<p>It is easy to check whether a single-digit or a two-digit number is prime or not, but what if we are given a three-digit number or more.<\/p>\n\n\n\n<ul><li><em>Let\u2019s say the number is 123, can we quickly find whether 123 is prime or not?<\/em><\/li><\/ul>\n\n\n\n<p>For this, let us learn a five-step approach to check whether a given number is a prime number or not?<\/p>\n\n\n\n<p><strong>Step 1<\/strong>: <em>Find the square root of the given number<\/em><\/p>\n\n\n\n<ul><li>The square root of 123 approximately equal to 11 as 11<sup>2<\/sup> = 121<\/li><\/ul>\n\n\n\n<p><strong>Step 2<\/strong>: <em>Round it off to the closest integer<\/em><\/p>\n\n\n\n<ul><li>The closest integer is 11.<\/li><\/ul>\n\n\n\n<p><strong>Step 3<\/strong>: <em>List down all the prime numbers which are less or equal to this integer<\/em><\/p>\n\n\n\n<ul><li>Prime numbers less than or equal to 11 are 2, 3, 5, 7, and 11.<\/li><\/ul>\n\n\n\n<p><strong>Step 4<\/strong>:<em> Check whether any of these prime numbers can divide the given number or not <\/em><\/p>\n\n\n\n<ul><li>123 is not divisible by 2.<\/li><li>But 123 is divisible by 3.<\/li><li>We need not check for other prime numbers<\/li><\/ul>\n\n\n\n<p><strong>Step 5<\/strong>: <em>If yes then the given number is not a prime number, else it is a prime number<\/em><\/p>\n\n\n\n<ul><li>123 is divisible by 3. Hence, it is not a prime number.<\/li><\/ul>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Pop-Quiz: is 157 a prime number?<\/p><\/blockquote>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Questions on Number Properties are very commonly asked on the GMAT. Ace GMAT Quant by <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">signing up for our free trial<\/a> and get access to 400+ questions. We are the <a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">most reviewed online GMAT Prep company<\/a> with 2400+ reviews on GMATClub.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-015cdc16-8e19-4d5d-9707-df1d6ecb8e43\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<p>Save 60+ hours of GMAT preparation by crafting a well-defined study plan in just 3 steps:<\/p>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/5ftgtAl_3C0? rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-98897740-e1b7-40ca-a4dc-5c2ae6b405f9\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/create-study-plan\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 576, 512\"><path fill=\"currentColor\" d=\"M144.3 32.04C106.9 31.29 63.7 41.44 18.6 61.29c-11.42 5.026-18.6 16.67-18.6 29.15l0 357.6c0 11.55 11.99 19.55 22.45 14.65c126.3-59.14 219.8 11 223.8 14.01C249.1 478.9 252.5 480 256 480c12.4 0 16-11.38 16-15.98V80.04c0-5.203-2.531-10.08-6.781-13.08C263.3 65.58 216.7 33.35 144.3 32.04zM557.4 61.29c-45.11-19.79-88.48-29.61-125.7-29.26c-72.44 1.312-118.1 33.55-120.9 34.92C306.5 69.96 304 74.83 304 80.04v383.1C304 468.4 307.5 480 320 480c3.484 0 6.938-1.125 9.781-3.328c3.925-3.018 97.44-73.16 223.8-14c10.46 4.896 22.45-3.105 22.45-14.65l.0001-357.6C575.1 77.97 568.8 66.31 557.4 61.29z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Create your Personalized Study Plan<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2 id=\"h-prime-factorization\">Prime factorization<\/h2>\n\n\n\n<p>We already know that any given positive integer can be expressed as a product of one or more prime numbers. This representation of any number is called prime factorization.<\/p>\n\n\n\n<p><u>For example<\/u>:<\/p>\n\n\n\n<p>420 = 2 \u00d7 210 = 2 \u00d7 2 \u00d7 105 = 2 \u00d7 2 \u00d7 3 \u00d7 35 = 2 \u00d7 2 \u00d7 3 \u00d7 5 \u00d7 7 = 2<sup>2<\/sup> \u00d7 3 \u00d7 5 \u00d7 7<\/p>\n\n\n\n<p>Now, let us learn a few more properties of numbers where we apply prime factorization.<\/p>\n\n\n\n<h2 id=\"h-properties-of-numbers-least-common-multiple-lcm\">Properties of numbers: Least Common Multiple (LCM)<\/h2>\n\n\n\n<p>Before we see what an LCM is, let us understand the meaning of a multiple.<\/p>\n\n\n\n<p><strong><u>Multiple:<\/u><\/strong> If the remainder when a number \u201cN\u201d is divided by another number \u201cn\u201d is zero, <em>then N is said to be a multiple of n<\/em>.<\/p>\n\n\n\n<p>And, LCM is the smallest common multiple of any two or more given positive integers.<\/p>\n\n\n\n<p><u>For example<\/u>: LCM of 4 and 6 is 12, since 12 is the smallest number, which is a multiple of both 4 and 6<\/p>\n\n\n\n<h2 id=\"h-properties-of-numbers-highest-common-factor-or-greatest-common-divisor-hcf-gcd\">Properties of numbers: Highest Common Factor or Greatest Common Divisor (HCF\/GCD)<\/h2>\n\n\n\n<p>Let us first learn what is a factor or divisor, and then we can learn about GCD or HCF.<\/p>\n\n\n\n<p><strong><u>Factor\/Divisor: <\/u><\/strong>If the remainder when a number \u201cN\u201d is divided by another number \u201cn\u201d is zero, then <em>n is said to be a factor or divisor of N<\/em>.<\/p>\n\n\n\n<p>And, HCF or GCD is the largest common factor\/divisor to any two or more given positive integers.<\/p>\n\n\n\n<p><em><u>For example:<\/u><\/em>&nbsp;The GCD of 24 and 30 is 6, since 6 is the greatest number, which is a factor of both 24 and 30.<\/p>\n\n\n\n<h2 id=\"h-method-to-find-lcm-and-gcd-of-any-two-given-positive-integers\">Method to find LCM and GCD of any two given positive integers<\/h2>\n\n\n\n<p>Now that we know what is an LCM and GCD, let us learn a method to find the LCM and GCD of any two given positive integers.<\/p>\n\n\n\n<h3 id=\"h-how-to-find-lcm\">How to find LCM?<\/h3>\n\n\n\n<p>Let us consider two positive integers, 72 and 300<\/p>\n\n\n\n<p><strong>Step 1<\/strong>: <em>Represent the two given numbers in their prime factorization form<\/em><\/p>\n\n\n\n<ul><li>72 = 2<sup>3<\/sup> \u00d7 3<sup>2<\/sup><\/li><li>300 = 2<sup>2<\/sup> \u00d7 3 \u00d7 5<sup>2<\/sup><\/li><\/ul>\n\n\n\n<p><strong>Step 2<\/strong>: <em>List down all the distinct prime factors from both the numbers<\/em><\/p>\n\n\n\n<ul><li>Prime factors of 72 = 2 and 3<\/li><li>Prime factors of 300 = 2, 3 and 5<\/li><li>Thus, distinct prime factors from both combined are 2, 3 and 5<\/li><\/ul>\n\n\n\n<p><strong>Step 3<\/strong>: <em>Find the power of each of these prime factors, which is the greatest between both the numbers.<\/em><\/p>\n\n\n\n<ul><li>Power of 2 in 72 = 3, and power of 2 in 300 = 2,<\/li><li>So, the power of 2 in LCM of 72 and 300 = 3, since the power of 2 is greatest in 72<\/li><li>Similarly, we get the powers of 3 and 5 as 2 and 2 respectively<\/li><\/ul>\n\n\n\n<p><strong>Step 4<\/strong>: <em>Multiply all these terms to get the LCM<\/em><\/p>\n\n\n\n<ul><li>Therefore, the LCM of 72 and 300 = 2<sup>3<\/sup> \u00d7 3<sup>2<\/sup> \u00d7 5<sup>2<\/sup><\/li><\/ul>\n\n\n\n<h3 id=\"h-how-to-find-gcd-hcf\">How to find GCD\/HCF?<\/h3>\n\n\n\n<p>Let us consider the same two positive integers, 72 and 300<\/p>\n\n\n\n<p><strong>Step 1<\/strong>: <em>Represent the two given numbers in their prime factorization form<\/em><\/p>\n\n\n\n<ul><li>72 = 2<sup>3<\/sup> \u00d7 3<sup>2<\/sup><\/li><li>300 = 2<sup>2<\/sup> \u00d7 3 \u00d7 5<sup>2<\/sup><\/li><\/ul>\n\n\n\n<p><strong>Step 2<\/strong>: <em>List down all the common prime factors<\/em><\/p>\n\n\n\n<ul><li>Prime factors of 72 = 2 and 3<\/li><li>Prime factors of 300 = 2, 3 and 5<\/li><li>Thus, common prime factors 2 and 3<\/li><\/ul>\n\n\n\n<p><strong>Step 3<\/strong>: <em>Find the power of each of these prime factors, which is the smallest between both<\/em><\/p>\n\n\n\n<ul><li>Power of 2 in 72 = 3, and power of 2 in 300 = 2,<\/li><li>So, the power of 2 in GCD of 72 and 300 = 2, since the power of 2 is the smallest in 300<\/li><li>Similarly, we get the powers of 3 and 5 as 1 and 0 respectively<\/li><\/ul>\n\n\n\n<p><strong>Step 4<\/strong>: <em>Multiply all these terms to get the GCD<\/em><\/p>\n\n\n\n<ul><li>Therefore, the GCD of 72 and 300 = 2<sup>2<\/sup> \u00d7 3 = 12<\/li><\/ul>\n\n\n\n<p><strong><u>Note:<\/u><\/strong> <em>The product of LCM and GCD of any two given positive integers is equal to the product of the two given integers.<\/em><\/p>\n\n\n\n<ul><li><em>LCM \u00d7 HCF = Product of the integers<\/em><\/li><\/ul>\n\n\n\n<blockquote><p>What is the LCM and GCD of two prime numbers? If you liked this article here are a couple of more article related to number properties:<\/p><ul>\n<li><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-quant-3-mistakes-in-even-odd-number-properties-questions\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">3 Most common mistakes in GMAT even-odd questions<\/a><\/li>\n<li><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-number-properties-3-mistakes-in-lcm-gcd-questions\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\">3 Most common mistakes in GMAT LCM\/GCD questions<\/a><\/li>\n<\/ul><\/blockquote>\n\n\n\n<h2 id=\"h-properties-of-numbers-application-quiz\"><span style=\"color: #333333; font-size: 30px;\">Properties of Numbers: Application Quiz<img loading=\"lazy\" class=\" wp-image-23141 alignright\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-1024x731.jpg\" alt=\"Properties of numbers - Number properties quiz\" width=\"600\" height=\"428\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-1024x731.jpg 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-300x214.jpg 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-768x549.jpg 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-400x284.jpg 400w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-numbers-Number-properties-quiz-1080x771.jpg 1080w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/span><\/h2>\n\n\n\n<h3 id=\"h-question-1\">Question 1<\/h3>\n\n\n\n<p>What is the even\/odd nature of the expression, 2k<sup>2<\/sup> + 14k + 7, where k is a positive integer?<\/p>\n\n\n\n<ol><li>Even<\/li><li>Odd<\/li><li>Cannot be determined<\/li><\/ol>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<p><strong>Given<\/strong><\/p>\n\n\n\n<ul><li>An e\u00d7pression, 2k<sup>2<\/sup> + 14k + 7, where k is a positive integer<\/li><\/ul>\n\n\n\n<p><strong>To find<\/strong><\/p>\n\n\n\n<ul><li>The even\/odd nature of the given e\u00d7pression<\/li><\/ul>\n\n\n\n<p><strong>Approach and Working out<\/strong><\/p>\n\n\n\n<ul><li>We can write, 2k<sup>2<\/sup> + 14k + 7 = 2k<sup>2<\/sup> + 14k + 6 + 1<\/li><\/ul>\n\n\n\n<p>Now, if we see, in the given e\u00d7pression<\/p>\n\n\n\n<ul><li>The term 2k<sup>2<\/sup> is always even, for any value of k<\/li><li>Since, even * any integer = even<\/li><li>The term 14k is always even, for any value of k<\/li><li>Since, even * any integer = even<\/li><li>The term 6 is also even, and 1 is odd<\/li><\/ul>\n\n\n\n<p>So, 2k<sup>2<\/sup> + 14k + 7 = 2k<sup>2<\/sup> + 14k + 6 + 1 = even + even + even + odd = odd<\/p>\n\n\n\n<p>Therefore, the given expression is always odd, for any value of k<\/p>\n\n\n\n<p>Hence, the correct answer is <strong>Option B<\/strong>.<\/p>\n\n\n\n<h2 id=\"h-properties-of-numbers-quiz-question-2\">Properties of Numbers Quiz: Question 2<\/h2>\n\n\n\n<p>The LCM of two positive integers, p, and q, is 42 and HCF is 1. If p is an even prime number, then what is the value of q?<\/p>\n\n\n\n<ol><li>6<\/li><li>7<\/li><li>14<\/li><li>21<\/li><li>42<\/li><\/ol>\n\n\n\n<h3 id=\"h-solution-1\">Solution<\/h3>\n\n\n\n<p><strong>Given<\/strong><\/p>\n\n\n\n<ul><li>Two positive integers, p, and q<\/li><li>p is an even prime number<\/li><li>LCM pf p and q = 42<\/li><li>HCF of p and q = 1<\/li><\/ul>\n\n\n\n<p><strong>To find<\/strong><\/p>\n\n\n\n<ul><li>The value of q<\/li><\/ul>\n\n\n\n<p><strong>Approach and Working out<\/strong><\/p>\n\n\n\n<p>The value of p = 2, since 2 is the only even prime number<\/p>\n\n\n\n<p>And, we know that,<\/p>\n\n\n\n<ul><li>LCM \u00d7 HCF = the product of the two integers<\/li><li>42 \u00d7 1 = 2 \u00d7 q<\/li><\/ul>\n\n\n\n<p>Therefore, the value of q = 42\/2 = 21.<\/p>\n\n\n\n<p>Hence, the correct answer is <strong>Option D<\/strong>.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-61ff0315-a575-4c93-8e26-71b80bfacc03\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hello Reader, We see that you want to know the basics and properties of numbers. You have landed just at the right place.&nbsp; Purpose of the article: In this article, You will get a deeper idea about the behavior of numbers and its operations You will also get to know a few facts about the [&hellip;]<\/p>\n","protected":false},"author":102412,"featured_media":23139,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[94,60,61],"tags":[],"featured_image_src":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","author_info":{"display_name":"Asif M","author_link":"https:\/\/e-gmat.com\/blogs\/author\/asife-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Properties of Numbers - Even &amp; Odd | Prime | HCF &amp; LCM<\/title>\n<meta name=\"description\" content=\"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Properties of Numbers - Even &amp; Odd | Prime | HCF &amp; LCM\" \/>\n<meta property=\"og:description\" content=\"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/\" \/>\n<meta property=\"og:site_name\" content=\"e-GMAT Blog | Best GMAT blog on the planet\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-24T14:27:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-11-18T08:08:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:site\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Asif M\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"10 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\",\"name\":\"e-GMAT\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\",\"https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/\",\"https:\/\/www.youtube.com\/user\/eGMATconcepts\",\"https:\/\/twitter.com\/e_GMAT\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"contentUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"width\":908,\"height\":802,\"caption\":\"e-GMAT\"},\"image\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"name\":\"e-GMAT Blog | Best GMAT blog on the planet\",\"description\":\"Prepare for your GMAT and MBA journey\",\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg\",\"contentUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg\",\"width\":1920,\"height\":1080,\"caption\":\"Properties of Numbers - Even and Odd - Prime numbers - HCF and LCM\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage\",\"url\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/\",\"name\":\"Properties of Numbers - Even & Odd | Prime | HCF & LCM\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage\"},\"datePublished\":\"2022-07-24T14:27:00+00:00\",\"dateModified\":\"2022-11-18T08:08:02+00:00\",\"description\":\"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.\",\"breadcrumb\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Homepage\",\"item\":\"https:\/\/e-gmat.com\/blogs\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"GMAT Preparation\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Properties of Numbers &#8211; Even &#038; Odd | Prime | HCF &#038; LCM\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage\"},\"author\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8850d2b9a71661b71086562dec04e1eb\"},\"headline\":\"Properties of Numbers &#8211; Even &#038; Odd | Prime | HCF &#038; LCM\",\"datePublished\":\"2022-07-24T14:27:00+00:00\",\"dateModified\":\"2022-11-18T08:08:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage\"},\"wordCount\":1537,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"image\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg\",\"articleSection\":[\"GMAT Preparation\",\"GMAT Quant\",\"Number Properties\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8850d2b9a71661b71086562dec04e1eb\",\"name\":\"Asif M\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/b416922b6e57b3ffe7ca08a51e499924?s=96&d=blank&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/b416922b6e57b3ffe7ca08a51e499924?s=96&d=blank&r=g\",\"caption\":\"Asif M\"},\"url\":\"https:\/\/e-gmat.com\/blogs\/author\/asife-gmat-com\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Properties of Numbers - Even & Odd | Prime | HCF & LCM","description":"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/","og_locale":"en_US","og_type":"article","og_title":"Properties of Numbers - Even & Odd | Prime | HCF & LCM","og_description":"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.","og_url":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/","og_site_name":"e-GMAT Blog | Best GMAT blog on the planet","article_publisher":"https:\/\/www.facebook.com\/E-Gmat-499275643430980","article_published_time":"2022-07-24T14:27:00+00:00","article_modified_time":"2022-11-18T08:08:02+00:00","og_image":[{"width":1920,"height":1080,"url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","path":"\/100gDisk\/blogs60\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","size":"full","id":23139,"alt":"Properties of Numbers - Even and Odd - Prime numbers - HCF and LCM","pixels":2073600,"type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_creator":"@e_GMAT","twitter_site":"@e_GMAT","twitter_misc":{"Written by":"Asif M","Est. reading time":"10 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/e-gmat.com\/blogs\/#organization","name":"e-GMAT","url":"https:\/\/e-gmat.com\/blogs\/","sameAs":["https:\/\/www.facebook.com\/E-Gmat-499275643430980","https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/","https:\/\/www.youtube.com\/user\/eGMATconcepts","https:\/\/twitter.com\/e_GMAT"],"logo":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#logo","inLanguage":"en-US","url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","contentUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","width":908,"height":802,"caption":"e-GMAT"},"image":{"@id":"https:\/\/e-gmat.com\/blogs\/#logo"}},{"@type":"WebSite","@id":"https:\/\/e-gmat.com\/blogs\/#website","url":"https:\/\/e-gmat.com\/blogs\/","name":"e-GMAT Blog | Best GMAT blog on the planet","description":"Prepare for your GMAT and MBA journey","publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage","inLanguage":"en-US","url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","contentUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","width":1920,"height":1080,"caption":"Properties of Numbers - Even and Odd - Prime numbers - HCF and LCM"},{"@type":"WebPage","@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage","url":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/","name":"Properties of Numbers - Even & Odd | Prime | HCF & LCM","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/#website"},"primaryImageOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage"},"datePublished":"2022-07-24T14:27:00+00:00","dateModified":"2022-11-18T08:08:02+00:00","description":"In this article, we explore the basic Properties of numbers such as even-odd numbers, prime numbers and HCF\/LCM of numbers.","breadcrumb":{"@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Homepage","item":"https:\/\/e-gmat.com\/blogs\/"},{"@type":"ListItem","position":2,"name":"GMAT Preparation","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/"},{"@type":"ListItem","position":3,"name":"Properties of Numbers &#8211; Even &#038; Odd | Prime | HCF &#038; LCM"}]},{"@type":"Article","@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#article","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage"},"author":{"@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8850d2b9a71661b71086562dec04e1eb"},"headline":"Properties of Numbers &#8211; Even &#038; Odd | Prime | HCF &#038; LCM","datePublished":"2022-07-24T14:27:00+00:00","dateModified":"2022-11-18T08:08:02+00:00","mainEntityOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#webpage"},"wordCount":1537,"commentCount":1,"publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"image":{"@id":"https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#primaryimage"},"thumbnailUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/07\/Properties-of-Numbers.jpg","articleSection":["GMAT Preparation","GMAT Quant","Number Properties"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/e-gmat.com\/blogs\/properties-of-numbers-even-odd-prime-hcf-lcm\/#respond"]}]},{"@type":"Person","@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8850d2b9a71661b71086562dec04e1eb","name":"Asif M","image":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b416922b6e57b3ffe7ca08a51e499924?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b416922b6e57b3ffe7ca08a51e499924?s=96&d=blank&r=g","caption":"Asif M"},"url":"https:\/\/e-gmat.com\/blogs\/author\/asife-gmat-com\/"}]}},"_links":{"self":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/23134"}],"collection":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/users\/102412"}],"replies":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/comments?post=23134"}],"version-history":[{"count":0,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/23134\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/media\/23139"}],"wp:attachment":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/media?parent=23134"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/categories?post=23134"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/tags?post=23134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}