Question

Find the cube root of the number by prime factorization method: 54872.

Answer 1

Given number is $54872$.

To find out: The cube root of the number, using prime factorization method.

The prime factors of $54872$ are $2$ and $19$.

$54872$ can be represented as the product of its prime factors as:

$54872=2\times 2\times 2\times 19\times 19\times 19$

$\Rightarrow 54872=38\times 38\times 38$

$\Rightarrow 54872={38}^3$

$\therefore$ Cube root of $54872=38$.

Hence, $38$ is the required answer.