Question

Find the cube root of $3375$ by the prime factorization method.

Answer 1

Evaluate the Cube Root:

The given number is $3375$.

After resolving the prime factors, we get

$3375=5\times 5\times 5\times 3\times 3\times 3$

Upon grouping the factors we get

$13824=(3x3x3)\times \left(5\times 5\times 5\right)$

Taking one factor from each group

$\sqrt[3]{3375}=3\times 5$

$=15$

Hence, the required cube root is $15$.