{"id":230747,"date":"2025-06-10T04:36:11","date_gmt":"2025-06-10T04:36:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230747"},"modified":"2025-06-10T04:36:13","modified_gmt":"2025-06-10T04:36:13","slug":"is-the-first-number-a-factor-of-the-second-number-9-147","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/is-the-first-number-a-factor-of-the-second-number-9-147\/","title":{"rendered":"Is the first number a factor of the second number? (9) 147"},"content":{"rendered":"\n

Is the first number a factor of the second number? (9) 147
Is the first number a factor of the second number? (9) 147<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Answer: No<\/strong>, 9 is not<\/strong> a factor of 147.<\/p>\n\n\n\n

\n\n\n\n

Explanation<\/h3>\n\n\n\n

To determine whether one number is a factor<\/strong> of another, we need to check if the second number can be divided evenly<\/strong> (with no remainder) by the first number.<\/p>\n\n\n\n

In this case, we are checking if 9 is a factor of 147<\/strong>. This means we need to check if:147\u00f79147 \\div 9147\u00f79<\/p>\n\n\n\n

Step 1: Perform the Division<\/h4>\n\n\n\n

147\u00f79=16.333…147 \\div 9 = 16.333…147\u00f79=16.333…<\/p>\n\n\n\n

The result is not a whole number<\/strong>; it’s approximately 16.33 (or exactly 1479=1613\\frac{147}{9} = 16 \\frac{1}{3}9147\u200b=1631\u200b).<\/p>\n\n\n\n

Since the division does not<\/strong> result in a whole number, 9 is not a factor of 147<\/strong>.<\/p>\n\n\n\n

Step 2: Use Multiplication to Double-Check<\/h4>\n\n\n\n

Let\u2019s check the multiples of 9 close to 147:<\/p>\n\n\n\n

    \n
  • 9\u00d716=1449 \\times 16 = 1449\u00d716=144<\/li>\n\n\n\n
  • 9\u00d717=1539 \\times 17 = 1539\u00d717=153<\/li>\n<\/ul>\n\n\n\n

    147 is between 144 and 153, meaning it is not<\/strong> a multiple of 9. Therefore, 9 does not divide evenly into 147.<\/p>\n\n\n\n

    Step 3: Use the Divisibility Rule for 9<\/h4>\n\n\n\n

    A quick test is the divisibility rule<\/strong> for 9: If the sum of the digits<\/strong> of a number is divisible by 9, then the number itself is divisible by 9.<\/p>\n\n\n\n

    For 147:<\/p>\n\n\n\n

      \n
    • Sum of digits = 1 + 4 + 7 = 12<\/strong><\/li>\n<\/ul>\n\n\n\n

      12 is not divisible by 9<\/strong>, so 147 is not divisible by 9<\/strong>.<\/p>\n\n\n\n

      \n\n\n\n

      Final Conclusion:<\/h3>\n\n\n\n

      Because 147 divided by 9 does not<\/strong> result in a whole number, and it fails the divisibility test for 9, we can conclude<\/strong> that 9 is not a factor of 147<\/strong>.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Is the first number a factor of the second number? (9) 147Is the first number a factor of the second number? (9) 147 The Correct Answer and Explanation is: Answer: No, 9 is not a factor of 147. Explanation To determine whether one number is a factor of another, we need to check if the […]<\/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-230747","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230747","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=230747"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230747\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}