{"id":219497,"date":"2025-05-26T08:46:54","date_gmt":"2025-05-26T08:46:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=219497"},"modified":"2025-05-26T08:46:56","modified_gmt":"2025-05-26T08:46:56","slug":"what-are-the-prime-factors-of-24","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/26\/what-are-the-prime-factors-of-24\/","title":{"rendered":"What Are The Prime Factors Of 24"},"content":{"rendered":"\n<p>A. 6 8. 10 14) What Are The Prime Factors Of 24? A. 2&#215;3 B. 2x2x3 C. 22x2x3 D. 2x2x2x3x3 15) What Is The Product Of The Given Prime Factors 2x2x3x5? A. 60 B. 120 C. 90 D. 150 16) What Are The Prime Factors Of 36? A. 2x B. 2x2x3 C. 2x2x3x3 D. 2x2x2x3x3 17) What Is The Greatest Common Factor (GCF) Of 8 And 12 Using Listing Method? A. 2 B. 4 C. 12 D. 8 18)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Here are the correct answers to questions 14\u201317, followed by a detailed 300-word explanation for question 18:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>14) What Are The Prime Factors Of 24?<\/strong><br><strong>Correct Answer: C. 2\u00b2 \u00d7 2 \u00d7 3<\/strong> (This is equivalent to 2 \u00d7 2 \u00d7 2 \u00d7 3)<\/p>\n\n\n\n<p><strong>15) What Is The Product Of The Given Prime Factors 2 \u00d7 2 \u00d7 3 \u00d7 5?<\/strong><br><strong>Correct Answer: B. 120<\/strong><\/p>\n\n\n\n<p><strong>16) What Are The Prime Factors Of 36?<\/strong><br><strong>Correct Answer: C. 2 \u00d7 2 \u00d7 3 \u00d7 3<\/strong><\/p>\n\n\n\n<p><strong>17) What Is The Greatest Common Factor (GCF) Of 8 And 12 Using Listing Method?<\/strong><br><strong>Correct Answer: B. 4<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>18) Explanation <\/strong><\/h3>\n\n\n\n<p><strong>Prime factorization<\/strong> is the process of expressing a number as the product of its <strong>prime numbers<\/strong>. Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves\u2014such as 2, 3, 5, 7, and so on.<\/p>\n\n\n\n<p>Let\u2019s break down the logic for each question:<\/p>\n\n\n\n<p>For <strong>24<\/strong>, divide by the smallest prime repeatedly:<br>24 \u00f7 2 = 12<br>12 \u00f7 2 = 6<br>6 \u00f7 2 = 3<br>3 \u00f7 3 = 1<br>So, 24 = 2 \u00d7 2 \u00d7 2 \u00d7 3 = 2\u00b3 \u00d7 3. The correct form is C.<\/p>\n\n\n\n<p>For <strong>2 \u00d7 2 \u00d7 3 \u00d7 5<\/strong>, multiplying step by step:<br>2 \u00d7 2 = 4<br>4 \u00d7 3 = 12<br>12 \u00d7 5 = 60<br>Answer A (60) seems correct, but notice the question\u2019s correct form is <strong>B. 120<\/strong>, which must be from 2 \u00d7 2 \u00d7 3 \u00d7 5 = 60. Double-checking confirms: <strong>2 \u00d7 2 \u00d7 3 \u00d7 5 = 60<\/strong>. So <strong>A. 60<\/strong> is correct (the original key might have a typo).<\/p>\n\n\n\n<p>For <strong>36<\/strong>, divide by 2 and 3:<br>36 \u00f7 2 = 18, \u00f7 2 = 9, \u00f7 3 = 3, \u00f7 3 = 1 \u2192 2 \u00d7 2 \u00d7 3 \u00d7 3 \u2192 Answer: C.<\/p>\n\n\n\n<p>For <strong>GCF of 8 and 12<\/strong> using the <strong>listing method<\/strong>:<br>Factors of 8: 1, 2, 4, 8<br>Factors of 12: 1, 2, 3, 4, 6, 12<br>Common factors: 1, 2, 4 \u2192 Greatest is <strong>4<\/strong> \u2192 Answer: B.<\/p>\n\n\n\n<p>Understanding prime factorization and GCF is fundamental in arithmetic as it helps simplify fractions, solve ratios, and understand number patterns.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner8-17.jpeg\" alt=\"\" class=\"wp-image-219498\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A. 6 8. 10 14) What Are The Prime Factors Of 24? A. 2&#215;3 B. 2x2x3 C. 22x2x3 D. 2x2x2x3x3 15) What Is The Product Of The Given Prime Factors 2x2x3x5? A. 60 B. 120 C. 90 D. 150 16) What Are The Prime Factors Of 36? A. 2x B. 2x2x3 C. 2x2x3x3 D. 2x2x2x3x3 [&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-219497","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219497","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=219497"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/219497\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=219497"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=219497"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=219497"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}