{"id":25249,"date":"2025-06-18T21:50:30","date_gmt":"2025-06-18T21:50:30","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=25249"},"modified":"2025-06-18T21:50:52","modified_gmt":"2025-06-18T21:50:52","slug":"write-the-common-factors-of-a-25-45","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-the-common-factors-of-a-25-45\/","title":{"rendered":"Write the common factors of: (a) 25, 45"},"content":{"rendered":"\n<p>Write the common factors of: (a) 25, 45 (b) 75, 125 (d) 100, 150 (e) 33, 55<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answers:<\/strong><\/p>\n\n\n\n<p><strong>(a) Common factors of 25 and 45:<\/strong><br><strong>1, 5<\/strong><\/p>\n\n\n\n<p><strong>(b) Common factors of 75 and 125:<\/strong><br><strong>1, 5, 25<\/strong><\/p>\n\n\n\n<p><strong>(d) Common factors of 100 and 150:<\/strong><br><strong>1, 2, 5, 10, 25, 50<\/strong><\/p>\n\n\n\n<p><strong>(e) Common factors of 33 and 55:<\/strong><br><strong>1, 11<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udca1 300 Words Explanation:<\/h3>\n\n\n\n<p>To find the <em>common factors<\/em> of two numbers, we first list out all the factors (numbers that divide evenly into the given number) for each, and then identify the numbers that appear in both lists.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>(a) 25 and 45<\/strong><br>Factors of 25: 1, 5, 25<br>Factors of 45: 1, 3, 5, 9, 15, 45<br>Common factors: <strong>1 and 5<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>(b) 75 and 125<\/strong><br>Factors of 75: 1, 3, 5, 15, 25, 75<br>Factors of 125: 1, 5, 25, 125<br>Common factors: <strong>1, 5, 25<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>(d) 100 and 150<\/strong><br>Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100<br>Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150<br>Common factors: <strong>1, 2, 5, 10, 25, 50<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>(e) 33 and 55<\/strong><br>Factors of 33: 1, 3, 11, 33<br>Factors of 55: 1, 5, 11, 55<br>Common factors: <strong>1 and 11<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why Common Factors Matter:<\/h3>\n\n\n\n<p>Common factors are used in many areas of math, including simplifying fractions, solving problems with ratios, and determining least common multiples or greatest common divisors (GCD). Knowing how to find them improves problem-solving and critical thinking skills in arithmetic and algebra. Identifying common factors can also help determine compatibility in grouping items, sharing resources, and optimizing processes in real-life applications.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write the common factors of: (a) 25, 45 (b) 75, 125 (d) 100, 150 (e) 33, 55 The correct answer and explanation is: Correct Answers: (a) Common factors of 25 and 45:1, 5 (b) Common factors of 75 and 125:1, 5, 25 (d) Common factors of 100 and 150:1, 2, 5, 10, 25, 50 (e) [&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-25249","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25249","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=25249"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25249\/revisions"}],"predecessor-version":[{"id":25250,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25249\/revisions\/25250"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}