Question

Find the cube root of $2744$ by the prime factorization method.

Answer 1

Evaluate the Cube Root:

The given number is $2744$.

After resolving the prime factors, we get

$2744=2\times 2\times 2\times 7\times 7\times 7$

Upon grouping the factors we get

$2744=(2\times 2\times 2)\times (7\times 7\times 7)$

Taking one factor from each group

$\sqrt[3]{2744}=2x7$

$=14$

Hence, the required cube root is $14$.