Question

Find the cube root of $4913$ by the prime factorization method.

Answer 1

Evaluate the Cube Root:

The given number is $4913$.

After resolving the prime factors, we get

$4913=17\times 17\times 17$

Upon grouping the factors we get

$4913=(17\times 17\times 17)$

Taking one factor from each group

$\sqrt[3]{4913}=17$

Hence, the required cube root is $17$.