{"id":154696,"date":"2022-03-25T23:49:19","date_gmt":"2022-03-25T18:19:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/how-to-find-cube-root-prime-factorization-method-estimation-method-and-important-faqs\/"},"modified":"2022-12-31T15:50:11","modified_gmt":"2022-12-31T10:20:11","slug":"how-to-find-cube-root-prime-factorization-method-estimation-method-and-important-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-cube-root\/","title":{"rendered":"How to Find Cube Root? \u2013Prime Factorization Method, Estimation Method and Important FAQs"},"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\/how-to-find-cube-root\/#Cube_Root_Basics\" title=\"Cube Root Basics\">Cube Root Basics<\/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\/how-to-find-cube-root\/#How_to_Find_a_Cube_Root\" title=\"How to Find a Cube Root?\">How to Find a Cube Root?<\/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\/how-to-find-cube-root\/#Cubes_and_Cube_Roots_of_the_First_20_Natural_Numbers\" title=\"Cubes and Cube Roots of the First 20 Natural Numbers\">Cubes and Cube Roots of the First 20 Natural Numbers<\/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\/how-to-find-cube-root\/#How_to_Find_a_Cube_Root_by_the_Prime_Factorization_Method\" title=\"How to Find a Cube Root by the Prime Factorization Method?\">How to Find a Cube Root by the Prime Factorization 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\/how-to-find-cube-root\/#How_to_Find_the_Cube_Root_by_Estimation_Method\" title=\"How to Find the Cube Root by Estimation Method?\">How to Find the Cube Root by Estimation Method?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Cube_Root_Basics\"><\/span>Cube Root Basics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Cube root is the inverse operation of cubing a number. It is the number that, when multiplied by itself three times, equals the original number. The cube root of a number can be found using a calculator, or by hand using the long division method.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154695 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-cube-root-prime-factorization-method-estimation-method-and-important-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-cube-root-prime-factorization-method-estimation-method-and-important-faqs.jpg?v=1648232355 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/how-to-find-cube-root-prime-factorization-method-estimation-method-and-important-faqs-300x212.jpg?v=1648232355 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_a_Cube_Root\"><\/span>How to Find a Cube Root?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The cube root of a number is a number that, when multiplied by itself three times, equals the original number. To find the cube root of a number, use a calculator to find the cube root of the number. If you do not have a calculator, you can use the following steps to find the cube root of a number.<\/p>\n<p>To find the cube root of a number without a calculator, first write the number as a product of its prime factors. In other words, write the number as a list of numbers that are multiplied together.<\/p>\n<p>For example, the cube root of 64 can be written as the following:<\/p>\n<p>64 = 2 x 2 x 2 x 2 x 2 x 2<\/p>\n<p>The cube root of a number can also be found by using the following steps:<\/p>\n<p>1. Write the number as a product of its prime factors.<\/p>\n<p>2. Write the number as a list of numbers that are multiplied together.<\/p>\n<p>3. Write the number in exponential form.<\/p>\n<p>4. Take the third root of the number.<\/p>\n<p>5. Write the answer in standard form.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Cubes_and_Cube_Roots_of_the_First_20_Natural_Numbers\"><\/span>Cubes and Cube Roots of the First 20 Natural Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The first 20 natural numbers are as follows:<\/p>\n<p>1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.<\/p>\n<p>The cube of a number is the result of multiplying the number by itself three times. For example, the cube of 8 is 8 x 8 x 8 = 512.<\/p>\n<p>The cube root of a number is the number that, when multiplied by itself three times, equals the original number. For example, the cube root of 512 is 8.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_a_Cube_Root_by_the_Prime_Factorization_Method\"><\/span>How to Find a Cube Root by the Prime Factorization Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The prime factorization method of finding a cube root is a three-step process. First, find the prime factors of the number. Second, write the prime factors in order from smallest to largest. Third, use the cube root function on the largest prime factor.<\/p>\n<p>For example, to find the cube root of 125, the prime factorization is 2 x 5 x 5. The cube root of 125 is 5.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_the_Cube_Root_by_Estimation_Method\"><\/span>How to Find the Cube Root by Estimation Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the cube root of a number by estimation, divide the number by 3 and take the nearest whole number.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cube Root Basics Cube root is the inverse operation of cubing a number. 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