Question

Find the cube root of $39304$ by the prime factorization method.

Answer 1

Evaluate the Cube Root:

The given number is $39304$

After resolving the prime factors, we get

$39304=2\times 2\times 2\times 17\times 17\times 17$

Upon grouping the factors we get

$39304=(2\times 2\times 2)\times (17\times 17\times 17)$

Taking one factor from each group

$\sqrt[3]{39304}=2x17$

$=34$

Hence, the required cube root is $34$.