{"id":256523,"date":"2025-07-16T10:06:35","date_gmt":"2025-07-16T10:06:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=256523"},"modified":"2025-07-16T10:06:38","modified_gmt":"2025-07-16T10:06:38","slug":"list-the-factors-of-each-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/16\/list-the-factors-of-each-number\/","title":{"rendered":"List the factors of each number."},"content":{"rendered":"\n<p>List the factors of each number. Find the GCF of each pair of numbers: 15, 60.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><\/p>\n\n\n\n<p><strong>Factors of 15:<\/strong> 1, 3, 5, 15<br><strong>Factors of 60:<\/strong> 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60<br><strong>Greatest Common Factor (GCF):<\/strong> 15<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To solve this problem, we begin by identifying all the factors of each number. A <em>factor<\/em> of a number is any whole number that divides it exactly, with no remainder.<\/p>\n\n\n\n<p><strong>Step 1: List the factors of 15.<\/strong><\/p>\n\n\n\n<p>To find the factors of 15, we test all whole numbers from 1 to 15 to see which divide evenly into 15.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>15 \u00f7 1 = 15<\/li>\n\n\n\n<li>15 \u00f7 3 = 5<\/li>\n\n\n\n<li>15 \u00f7 5 = 3<\/li>\n\n\n\n<li>15 \u00f7 15 = 1<\/li>\n<\/ul>\n\n\n\n<p>So, the factors of 15 are: <strong>1, 3, 5, 15<\/strong><\/p>\n\n\n\n<p><strong>Step 2: List the factors of 60.<\/strong><\/p>\n\n\n\n<p>To find the factors of 60, we check all numbers from 1 to 60:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>60 \u00f7 1 = 60<\/li>\n\n\n\n<li>60 \u00f7 2 = 30<\/li>\n\n\n\n<li>60 \u00f7 3 = 20<\/li>\n\n\n\n<li>60 \u00f7 4 = 15<\/li>\n\n\n\n<li>60 \u00f7 5 = 12<\/li>\n\n\n\n<li>60 \u00f7 6 = 10<\/li>\n\n\n\n<li>60 \u00f7 10 = 6<\/li>\n\n\n\n<li>60 \u00f7 12 = 5<\/li>\n\n\n\n<li>60 \u00f7 15 = 4<\/li>\n\n\n\n<li>60 \u00f7 20 = 3<\/li>\n\n\n\n<li>60 \u00f7 30 = 2<\/li>\n\n\n\n<li>60 \u00f7 60 = 1<\/li>\n<\/ul>\n\n\n\n<p>So, the factors of 60 are: <strong>1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60<\/strong><\/p>\n\n\n\n<p><strong>Step 3: Find the common factors.<\/strong><\/p>\n\n\n\n<p>Now we compare the lists of factors for both numbers. The <strong>common factors<\/strong> are those that appear in both lists.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Common factors of 15 and 60: <strong>1, 3, 5, 15<\/strong><\/li>\n<\/ul>\n\n\n\n<p><strong>Step 4: Identify the Greatest Common Factor.<\/strong><\/p>\n\n\n\n<p>The greatest of the common factors is <strong>15<\/strong>, so the <strong>GCF of 15 and 60 is 15<\/strong>.<\/p>\n\n\n\n<p>The GCF is useful in simplifying fractions, finding least common multiples, and solving real-life problems involving ratios.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-643.jpeg\" alt=\"\" class=\"wp-image-256524\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>List the factors of each number. Find the GCF of each pair of numbers: 15, 60. The Correct Answer and Explanation is: Correct Answer: Factors of 15: 1, 3, 5, 15Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60Greatest Common Factor (GCF): 15 Explanation: To solve this problem, we [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-256523","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=256523"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/256523\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=256523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=256523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=256523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}