Question

find the cube root of 21952 by prime factorization method

Answer 1

Given:

21952

To find:

find the cube root of the given number by prime factorization method​.

Solution:

First find the prime factors of 21952

prime factors of 21952 = 2x2x2x2x2x2x7x7x7

=> make three groups of same numbers

=> (2x2x2) x (2x2x2) x (7x7x7)

=> 2 x 2 x 7

=> 28

hence, 28^3 is 21952

Answer 2

Answer = hence cube root of 21952=2x2x7=28...

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