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Question

Find the cube root of 1331 by the prime factorization method.


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Solution

Apply prime factorization and calculate cube root

The given number is 1331.

The prime factors of 1331 can be calculated as,

So, 1331=11×11×11

Then, the cube root of 1331 is,

13313=11×11×11313313=11

Hence, the cube root of 1331 is 11.


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