{"id":60,"date":"2022-04-08T04:29:36","date_gmt":"2022-04-08T04:29:36","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=60"},"modified":"2025-11-19T10:43:50","modified_gmt":"2025-11-19T10:43:50","slug":"d-2identify-factors","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/d-2identify-factors\/","title":{"rendered":"D.2\tIdentify factors"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\">Identify factors<\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/D.2-Identify-factors.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-26e77fc4ba59d1d3deab8425210f245b\" style=\"color:#74008b;text-transform:capitalize\">key notes:<\/p>\n\n\n\n<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Definition of Factors:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>A factor of a number is a whole number that can be multiplied by another whole number to get the original number.<\/li>\n\n\n\n<li>Example: Factors of 12 include 1, 2, 3, 4, 6, and 12 because 1\u00d712=12 , 2\u00d76=12, and 3\u00d74=12.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"306\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-1024x306.png\" alt=\"\" class=\"wp-image-13105\" style=\"width:706px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-1024x306.png 1024w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-300x90.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-768x229.png 768w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-1536x458.png 1536w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-2048x611.png 2048w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/Untitled-design-65-1568x468.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Understanding Factors:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Factors are always less than or equal to the number.<\/li>\n\n\n\n<li>Every number has at least two factors: 1 and the number itself.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong>Finding Factors:<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Step 1:<\/strong> Start with 1 and the number itself.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Divide the number by each integer starting from 2 up to the square root of the number.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> If the division results in a whole number (no remainder), both the divisor and the quotient are factors.<\/li>\n\n\n\n<li><strong>Example:<\/strong> To find the factors of 18, divide 18 by 1, 2, 3, 6, 9, and 18. The factors of 18 are 1, 2, 3, 6, 9, and 18.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong>Prime Factorization:<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Prime factorization<\/strong>&nbsp;is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers. Here, all the concepts of prime factors and prime factorization methods have been explained which will help the students understand how to find the&nbsp;<a href=\"https:\/\/byjus.com\/maths\/prime-factors\/\">prime factors<\/a>&nbsp;of a number easily.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">For example, the prime factors of 126 will be 2, 3 and 7 as 2 \u00d7 3&nbsp;\u00d7 3 \u00d7 7 = 126 and 2, 3, 7 are prime numbers.<\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong>Prime factorization Examples<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Prime factorization of 12 is 2&nbsp;\u00d7 2&nbsp;\u00d7 3 = 2<sup>2<\/sup>&nbsp;\u00d7 3<\/li>\n\n\n\n<li>Prime factorization of 18 is 2&nbsp;\u00d7 3&nbsp;\u00d7 3 = 2&nbsp;\u00d7 3<sup>2<\/sup><\/li>\n\n\n\n<li class=\"has-normal-font-size\">Prime factorization of 24 is 2&nbsp;\u00d7 2&nbsp;\u00d7 2&nbsp;\u00d7 3 = 2<sup>3<\/sup>&nbsp;\u00d7 3<\/li>\n\n\n\n<li>Prime factorization of 20 is 2&nbsp;\u00d7 2&nbsp;\u00d7 5 = 2<sup>2<\/sup>&nbsp;\u00d7 5<\/li>\n\n\n\n<li>Prime factorization of 36 is 2&nbsp;\u00d7 2&nbsp;\u00d7 3&nbsp;\u00d7 3 = 2\u00b2 \u00d7 3\u00b2<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong>Factor Pairs:<\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Factors come in pairs that multiply to give the original number.<\/li>\n\n\n\n<li>Example: The factor pairs of 18 are (1, 18), (2, 9), and (3, 6).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong><strong>Common Factors:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>When two numbers share factors, those shared numbers are called common factors.<\/li>\n\n\n\n<li class=\"has-normal-font-size\">Example: Common factors of 12 and 18 are 1, 2, 3, and 6.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong><strong><strong>Greatest Common Factor (GCF):<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">The largest number, which is the factor of two or more number is called the&nbsp;<strong>Greatest Common Factor (GCF).<\/strong>&nbsp;It is the largest number (factor) that divide them resulting in a&nbsp;<a href=\"https:\/\/byjus.com\/maths\/natural-numbers\/\">Natural number.<\/a>&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"562\" height=\"235\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-8.png\" alt=\"\" class=\"wp-image-13114\" style=\"width:639px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-8.png 562w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-8-300x125.png 300w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong><strong><strong><strong><strong><strong>Examples for Practice:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 1: Find the factors of 24.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Start with 1 and 24. Then, check 2, 3, 4, 6, 8, and 12.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">Factors: 1, 2, 3, 4, 6, 8, 12, 24.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 2: Find the common factors of 30 and 45.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.<\/li>\n\n\n\n<li>Factors of 45: 1, 3, 5, 9, 15, 45.<\/li>\n\n\n\n<li>Common factors: 1, 3, 5, 15.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Example 3: Identify the greatest common factor of 28 and 42.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>Factors of 28: 1, 2, 4, 7, 14, 28.<\/li>\n\n\n\n<li>Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42.<\/li>\n\n\n\n<li>GCF: 14.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-normal-font-size\">1,2,4,8,16 are the factors of 16.<\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#fbcfcf\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#b00012\">Which numbers are factors of 15?<\/p>\n\n\n\n<p class=\"has-text-align-center has-primary-color has-text-color has-normal-font-size\">1   \/   3   \/   5   \/  15<\/p>\n<\/div><\/div>\n\n\n\n<p>divide all the numbers into 15, and see which ones divide evenly.<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1661190975045_348\" class=\"wp-block-table\"><table><tbody><tr><td>15 \u00f7&nbsp;<strong>5<\/strong>&nbsp;= 3&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 5 divides evenly<\/td><\/tr><tr><td>15 \u00f7&nbsp;<strong>15<\/strong>&nbsp;= 1&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 15 divides evenly<\/td><\/tr><tr><td>15 \u00f7&nbsp;<strong>3<\/strong>&nbsp;= 5&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 3 divides evenly<\/td><\/tr><tr><td>15 \u00f7&nbsp;<strong>1<\/strong>&nbsp;= 15&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 1 divides evenly<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>1, 5, 3, and 15 divide evenly into 15, so 1, 5, 3, and 15 are factors.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-normal-font-size\" style=\"background-color:#f4eba2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#b00012\">Which number is a factor of 9?<\/p>\n\n\n\n<p class=\"has-text-align-center has-foreground-color has-text-color has-normal-font-size\"><br>2  \/  4  \/  3  \/  8<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide all the numbers into 9, and see which one divides evenly.<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1661191209072_346\" class=\"wp-block-table has-normal-font-size\"><table><tbody><tr><td>9 \u00f7&nbsp;<strong>2<\/strong>&nbsp;= 4&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>9 \u00f7&nbsp;<strong>4<\/strong>&nbsp;= 2&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>9 \u00f7&nbsp;<strong>3<\/strong>&nbsp;= 3&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 3 divides evenly<\/td><\/tr><tr><td>9 \u00f7&nbsp;<strong>8<\/strong>&nbsp;= 1&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#001552\">3 divides evenly into 9, so 3 is a factor.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#eaa0da\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-b8bdbc6a240c1ec6d10154dde52d6403\" style=\"color:#b00012\">Which numbers are factors of 12? <\/p>\n\n\n\n<p>Select all that apply.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>12<\/li>\n\n\n\n<li>9<\/li>\n\n\n\n<li>7<\/li>\n\n\n\n<li>2<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide all the numbers into 12, and see which ones divide evenly.<\/p>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table><tbody><tr><td>12 \u00f7&nbsp;<strong>12<\/strong>&nbsp;= 1&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 12 divides evenly<\/td><\/tr><tr><td>12 \u00f7&nbsp;<strong>9<\/strong>&nbsp;= 1&nbsp;R3<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>12 \u00f7&nbsp;<strong>7<\/strong>&nbsp;= 1&nbsp;R5<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>12 \u00f7&nbsp;<strong>2<\/strong>&nbsp;= 6&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 2 divides evenly<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">2 and 12 divide evenly into 12, so 2 and 12 are factors.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76290\/033\/432\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-75.png\" alt=\"\" class=\"wp-image-6220\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-75.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-75-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-75-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-75-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76678\/122\/903\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76.png\" alt=\"\" class=\"wp-image-6219\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-76-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify factors key notes: Definition of Factors: Understanding Factors: Finding Factors: Prime Factorization: Prime factorization&nbsp;is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers. Here, all the concepts of prime factors and prime factorization methods have been explained which will help the students understand how to<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/d-2identify-factors\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.2\tIdentify factors&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-60","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=60"}],"version-history":[{"count":36,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60\/revisions"}],"predecessor-version":[{"id":17356,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/60\/revisions\/17356"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=60"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}