# find the cube root by prime factorization method

One from each group of three identical factors is considered and their product is found to get the cube root of the number. What is plot of the story Sinigang by Marby Villaceran? Generally prime factorization is used for finding square roots … The cube root of 74088 found using the estimation method is 42. We see that, 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 Since 2 & 3 occur in triplets ∴ 13824 is a perfect cube Cube root of 13824 = 2 × 2 × 2 × 3 = 4 × 6 = 24 Who is the longest reigning WWE Champion of all time? Now when we take the cube root of the given number, the identical or similar factors can be paired in a group of three. The answer is the required cube root. Hence, we will get the cubes of prime factors. (iii) Combine the like square root terms using mathematical operations. Your email address will not be published. The name prime factorization method is because the method involves the process of resolution of the number whose cube root is to be found into its prime factors. Step 2: Pair the factors of 512 in a group of three, such that they form cubes. Learn more here, to calculate the value of 3√512. When did organ music become associated with baseball? Approximate value of 7171/3 = 8.9503 What is th cube root of 900 using prime factorization? Why don't libraries smell like bookstores? So, here the cube root is eliminated by the cube of 8. Copyright © 2020 Multiply Media, LLC. To find the cube root of 91125 by prime factorization, let's take factors of 91125.. 3 l 91125 3 l 30375 3 l 10125 3 l 3375 3 l 1125 3 l 375 5 l 125 How long does it take to cook a 23 pound turkey in an oven? Say, ‘n’ is the value obtained from 3√512, then n × n × n = n3 = 512 (as per the definition of cube). 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