{"id":38516,"date":"2025-06-26T10:25:15","date_gmt":"2025-06-26T10:25:15","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38516"},"modified":"2025-06-26T10:25:17","modified_gmt":"2025-06-26T10:25:17","slug":"find-prime-factorization-of-108-by-using-the-factor-tree-method-in-your-notebook","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-prime-factorization-of-108-by-using-the-factor-tree-method-in-your-notebook\/","title":{"rendered":"find prime factorization of 108 by using the factor tree method in your notebook."},"content":{"rendered":"\n<p>find prime factorization of 108 by using the factor tree method in your notebook.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Prime Factorization of 108 Using the Factor Tree Method<\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>108<br>\u2199\ufe0f \u2198\ufe0f<br>2 54<br>\u2199\ufe0f \u2198\ufe0f<br>2 27<br>\u2199\ufe0f \u2198\ufe0f<br>3 9<br>\u2199\ufe0f \u2198\ufe0f<br>3 3<\/p>\n\n\n\n<p>So, the <strong>prime factorization of 108<\/strong> is:<\/p>\n\n\n\n<p><strong>108 = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 = 2\u00b2 \u00d7 3\u00b3<\/strong><\/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>Prime factorization is the process of breaking a number down into a product of prime numbers. Prime numbers are numbers greater than 1 that have only two factors \u2014 one and themselves. Some examples include 2, 3, 5, 7, 11, and so on.<\/p>\n\n\n\n<p>To find the prime factorization of 108 using the factor tree method, we begin by dividing the number into any two factors. One of the easiest ways is to start with the smallest prime number that divides it. Since 108 is an even number, we can divide it by 2.<\/p>\n\n\n\n<p>108 \u00f7 2 = 54<br>So, we write 108 as 2 \u00d7 54.<\/p>\n\n\n\n<p>Next, we continue factoring 54. Since it is also even, we divide it by 2 again.<\/p>\n\n\n\n<p>54 \u00f7 2 = 27<br>Now we have: 2 \u00d7 2 \u00d7 27<\/p>\n\n\n\n<p>Next, we factor 27. It is not divisible by 2, but it is divisible by 3.<\/p>\n\n\n\n<p>27 \u00f7 3 = 9<br>So far we have: 2 \u00d7 2 \u00d7 3 \u00d7 9<\/p>\n\n\n\n<p>Now factor 9, which is also divisible by 3.<\/p>\n\n\n\n<p>9 \u00f7 3 = 3<br>So, 9 = 3 \u00d7 3<\/p>\n\n\n\n<p>Putting all factors together:<br>2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3<\/p>\n\n\n\n<p>Now, we can write this in exponential form to make it more compact:<br><strong>2\u00b2 \u00d7 3\u00b3<\/strong><\/p>\n\n\n\n<p>This method helps ensure we include all prime numbers in the factorization. Using a factor tree is a visual and logical way to find the prime building blocks of a number. It is especially useful for breaking down large numbers into simpler components.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1038.jpeg\" alt=\"\" class=\"wp-image-38517\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1038.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1038-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1038-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>find prime factorization of 108 by using the factor tree method in your notebook. The Correct Answer and Explanation is: Prime Factorization of 108 Using the Factor Tree Method Answer: 108\u2199\ufe0f \u2198\ufe0f2 54\u2199\ufe0f \u2198\ufe0f2 27\u2199\ufe0f \u2198\ufe0f3 9\u2199\ufe0f \u2198\ufe0f3 3 So, the prime factorization of 108 is: 108 = 2 \u00d7 2 \u00d7 3 \u00d7 3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38516","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38516","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=38516"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38516\/revisions"}],"predecessor-version":[{"id":38518,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38516\/revisions\/38518"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38516"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38516"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}