{"id":155376,"date":"2022-03-26T00:34:37","date_gmt":"2022-03-25T19:04:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/prime-factors\/"},"modified":"2022-12-31T15:06:00","modified_gmt":"2022-12-31T09:36:00","slug":"prime-factors","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/","title":{"rendered":"Prime Factors"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/#Explain_in_Detail_What_is_a_Prime_Number\" title=\"Explain in Detail :What is a Prime Number\">Explain in Detail :What is a Prime Number<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/#What_are_the_Prime_Factors_or_Prime_Factors_Definition\" title=\"What are the Prime Factors or Prime Factors Definition\">What are the Prime Factors or Prime Factors Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/#How_to_Find_Prime_Factors_of_a_Number\" title=\"How to Find Prime Factors of a Number\">How to Find Prime Factors of a Number<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/#How_To_Find_Prime_Factorization_of_A_Number_Using_the_Factor_Tree_Method\" title=\"How To Find Prime Factorization of A Number Using the Factor Tree Method\">How To Find Prime Factorization of A Number Using the Factor Tree Method<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/prime-factors\/#How_to_Calculate_Prime_Factors_using_the_Repeated_Division_Method\" title=\"How to Calculate Prime Factors using the Repeated Division Method?\">How to Calculate Prime Factors using the Repeated Division Method?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Explain_in_Detail_What_is_a_Prime_Number\"><\/span>Explain in Detail :What is a Prime Number<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A prime number is a number that can be divided evenly only by 1 and itself. For example, the prime numbers 2, 3, 5, 7, and 11 can be divided evenly by 1 and 2, 1 and 3, 1 and 5, and 1 and 7, respectively. However, the number 4 cannot be divided evenly by 1 and 2, nor by 1 and 3, nor by 1 and 5, nor by 1 and 7.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155375 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-factors.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-factors.jpg?v=1648235074 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/prime-factors-300x212.jpg?v=1648235074 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_are_the_Prime_Factors_or_Prime_Factors_Definition\"><\/span>What are the Prime Factors or Prime Factors Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The prime factors of a number are the prime numbers that divide that number without leaving a remainder. For example, the prime factors of 36 are 2, 3, and 6.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_Prime_Factors_of_a_Number\"><\/span>How to Find Prime Factors of a Number<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the prime factors of a number, divide the number by all the prime numbers that divide into it evenly. The prime factors of a number are the numbers that are left over after all the other divisors are taken away.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_To_Find_Prime_Factorization_of_A_Number_Using_the_Factor_Tree_Method\"><\/span>How To Find Prime Factorization of A Number Using the Factor Tree Method<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The factor tree method is a way of finding the prime factorization of a number. The prime factorization of a number is the decomposition of the number into its prime factors.<\/p>\n<p>To find the prime factorization of a number using the factor tree method, start by drawing a tree diagram with the number at the top. Then, draw branches from the number down to the prime numbers that divide into the number. Write the prime factorization of the number at the end of the branches.<\/p>\n<p>For example, the prime factorization of 120 is 2 \u00d7 2 \u00d7 3 \u00d7 5.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Calculate_Prime_Factors_using_the_Repeated_Division_Method\"><\/span>How to Calculate Prime Factors using the Repeated Division Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To calculate prime factors using the repeated division method, divide the number to be factors by all of the prime numbers up to the square root of the number. Write the resulting factors beside the original number. The prime factors are the first numbers in the resulting list.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Explain in Detail :What is a Prime Number A prime number is a number that can be divided evenly only [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Prime Factors","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Prime Factors topic of Maths in details explained by subject experts on infinitylearn.com. 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