Find the cube root of 21957 by Prime factorization method ?

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Find the cube root of 21957 by Prime factorization method ?


We can factorize 21957 by two methods. One is division method and another is prime factorization method. 

But here we can see that 21957 is already a prime number and a prime number never have a factor other than 1 and the number 21957 itself.

⇨ Here we are trying  to use prime factorization method to find the cube roots of 21957 just to see the errors.

Prime factors of 21957 = 3 x 13 x 563

 Here we can clearly see that there is no triplets of any prime factors of 21957 so that we can calculate the cube roots.

⇨ To find the cube roots of any number we need its prime factors in the form of triplet.

⇨ For example: Find Cube root of 27 ?
⇨ Prime Factors of 27 = 3 x 3 x 3
⇨ 27 = 3^3
⇨ 27 = 3 is the cube root of 27

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