{"id":274675,"date":"2025-07-28T10:00:59","date_gmt":"2025-07-28T10:00:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=274675"},"modified":"2025-07-28T10:01:02","modified_gmt":"2025-07-28T10:01:02","slug":"factor-28c32","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/factor-28c32\/","title":{"rendered":"Factor 28c+32"},"content":{"rendered":"\n<p>Factor 28c+32. <\/p>\n\n\n\n<p>Write your answer as a product with a whole number greater than 1.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To factor the expression 28c+3228c + 32, the first step is to identify the greatest common factor (GCF) of the two terms, 28c and 32.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the GCF<\/h3>\n\n\n\n<p>The coefficients of the terms are 28 and 32. The factors of 28 are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1, 2, 4, 7, 14, 28.<\/li>\n<\/ul>\n\n\n\n<p>The factors of 32 are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1, 2, 4, 8, 16, 32.<\/li>\n<\/ul>\n\n\n\n<p>The largest common factor between 28 and 32 is 4.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Factor out the GCF<\/h3>\n\n\n\n<p>Now that we know the GCF is 4, we can factor it out from both terms in the expression: 28c+32=4(7c+8).28c + 32 = 4(7c + 8).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Check the factorization<\/h3>\n\n\n\n<p>To verify that this factorization is correct, we can expand the expression 4(7c+8)4(7c + 8): 4(7c+8)=4\u00d77c+4\u00d78=28c+32.4(7c + 8) = 4 \\times 7c + 4 \\times 8 = 28c + 32.<\/p>\n\n\n\n<p>Since this matches the original expression, the factorization is correct.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The factored form of 28c+3228c + 32 is: 4(7c+8).4(7c + 8).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Factoring involves identifying a common factor in all terms of the expression. By factoring out the GCF, we simplify the expression and represent it as a product of a whole number (4) and a binomial (7c + 8). This approach is useful in simplifying expressions and solving equations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Factor 28c+32. Write your answer as a product with a whole number greater than 1. The correct answer and explanation is: To factor the expression 28c+3228c + 32, the first step is to identify the greatest common factor (GCF) of the two terms, 28c and 32. Step 1: Identify the GCF The coefficients of the [&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-274675","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274675","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=274675"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274675\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274675"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274675"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}