{"id":10,"date":"2022-04-12T11:48:38","date_gmt":"2022-04-12T11:48:38","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=10"},"modified":"2025-11-19T06:47:44","modified_gmt":"2025-11-19T06:47:44","slug":"a-1-factors","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/a-1-factors\/","title":{"rendered":"A.1 Factors"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Factors<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video autoplay controls src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Factors.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-ab4cbed01f2dc53453f6fa9edffd950d\" style=\"color:#74008b;text-transform:capitalize\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-normal-font-size\">In mathematics, a <em>factor<\/em> is a number that divides another number completely without leaving a remainder. Understanding factors is essential for various topics in math, including algebra and number theory.<\/p>\n\n\n\n<p class=\"has-normal-font-size\">Here\u2019s a simple breakdown of the concept:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Definition of a Factor:<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">A factor of a number is an integer that divides the number evenly. <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-normal-font-size\">For example, 2 is a factor of 8 because 8 \u00f7 2 = 4 with no remainder.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Finding Factors:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>To find factors, you can start by testing numbers from 1 up to the number itself to see which ones divide it evenly.<\/li>\n\n\n\n<li>Example: To find the factors of 12, test numbers 1, 2, 3, 4, 6, and 12:\n<ul class=\"wp-block-list\">\n<li>12 \u00f7 1 = 12 (Factor)<\/li>\n\n\n\n<li>12 \u00f7 2 = 6 (Factor)<\/li>\n\n\n\n<li>12 \u00f7 3 = 4 (Factor)<\/li>\n\n\n\n<li>12 \u00f7 4 = 3 (Factor)<\/li>\n\n\n\n<li>12 \u00f7 6 = 2 (Factor)<\/li>\n\n\n\n<li>12 \u00f7 12 = 1 (Factor)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>So, the factors of 12 are 1, 2, 3, 4, 6, and 12.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"717\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-1024x717.png\" alt=\"\" class=\"wp-image-16489\" style=\"width:457px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-1024x717.png 1024w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-300x210.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-768x538.png 768w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-1536x1075.png 1536w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-2048x1434.png 2048w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2024\/07\/Untitled-design-18-1568x1098.png 1568w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Prime Factors:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\">Prime factors are factors that are prime numbers. For instance, the prime factors of 12 are 2 and 3, since 12 = 2 \u00d7 2 \u00d7 3.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Factor Pairs:<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Factor pairs are two numbers that multiply together to give the original number. <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For 12, the factor pairs are (1, 12), (2, 6), and (3, 4).<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Greatest Common Factor (GCF):<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\">The GCF is the largest factor that two or more numbers share. <\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li class=\"has-normal-font-size\">For example, the GCF of 12 and 18 is 6.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Learn with an example<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#c9f6be\"><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-88663181fb295864a9692ac0202f33d1\" style=\"color:#d90000\"><strong>Which number is a factor of 9?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>5<\/li>\n\n\n\n<li>27<\/li>\n\n\n\n<li>2<\/li>\n\n\n\n<li>3<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-normal-font-size\">Divide all the numbers into 9, and see which one divides evenly.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>9 \u00f7&nbsp;<strong>5<\/strong>&nbsp;= 1&nbsp;R4<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>9 \u00f7&nbsp;<strong>27<\/strong>&nbsp;= 0&nbsp;R9<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><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>3<\/strong>&nbsp;= 3&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 3 divides evenly<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>3 <\/strong>divides evenly into 9, so <strong>3 <\/strong>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:#d1bdf6\"><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-7c3edaf20dd54df0dc1caf3751ba1e3e\" style=\"color:#d90000\"><strong>Which number is a factor of 16?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>7<\/li>\n\n\n\n<li>5<\/li>\n\n\n\n<li>4<\/li>\n\n\n\n<li>3<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide all the numbers into 16, and see which one divides evenly.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>16 \u00f7&nbsp;<strong>7<\/strong>&nbsp;= 2&nbsp;R2<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>16 \u00f7&nbsp;<strong>5<\/strong>&nbsp;= 3&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>16 \u00f7&nbsp;<strong>4<\/strong>&nbsp;= 4&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 4 divides evenly<\/td><\/tr><tr><td>16 \u00f7&nbsp;<strong>3<\/strong>&nbsp;= 5&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>4 divides evenly into 16, so 4 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:#b0d0f6\"><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-7a8993d6696bd03e1271301518ed9876\" style=\"color:#d90000\"><strong>Which number is a factor of 10?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3<\/li>\n\n\n\n<li>6<\/li>\n\n\n\n<li>2<\/li>\n\n\n\n<li>4<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Divide all the numbers into 10, and see which one divides evenly.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>10 \u00f7&nbsp;<strong>3<\/strong>&nbsp;= 3&nbsp;R1<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>10 \u00f7&nbsp;<strong>6<\/strong>&nbsp;= 1&nbsp;R4<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><tr><td>10 \u00f7&nbsp;<strong>2<\/strong>&nbsp;= 5&nbsp;R0<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>Yes, 2 divides evenly<\/td><\/tr><tr><td>10 \u00f7&nbsp;<strong>4<\/strong>&nbsp;= 2&nbsp;R2<\/td><td>&nbsp;&nbsp;&nbsp;<\/td><td>No<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>2 divides evenly into 10, so 2 is a factor.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/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\/84310\/882\/804\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-7.png\" alt=\"\" class=\"wp-image-8435\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-7.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-7-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-7-150x150.png 150w\" 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\/78068\/674\/975\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-7.png\" alt=\"\" class=\"wp-image-8436\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-7.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-7-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Factors Key notes: In mathematics, a factor is a number that divides another number completely without leaving a remainder. Understanding factors is essential for various topics in math, including algebra and number theory. Here\u2019s a simple breakdown of the concept: Definition of a Factor: A factor of a number is an integer that divides the<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/a-1-factors\/\">Continue reading <span class=\"screen-reader-text\">&#8220;A.1 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-10","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/10","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=10"}],"version-history":[{"count":54,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/10\/revisions"}],"predecessor-version":[{"id":22310,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/10\/revisions\/22310"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=10"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}