Question

Find the cube root of $5832$ by the prime factorization method.

Answer 1

Evaluate the Cube Root:

The given number is $5832$.

After resolving the prime factors, we get

$5832=3\times 3\times 3\times 3\times 3\times 3\times 2\times 2\times 2$

Upon grouping the factors we get

$5832=(3\times 3\times 3)\times (3\times 3\times 3)\times (2\times 2\times 2)$

Taking one factor from each group

$\sqrt[3]{5832}=3\times 3\times 2$

$=18$

Hence, the required cube root is $18$.