Question

Find the cube root of the following number by prime factorization method: $10648$

Answer 1

Resolving 10648 into prime factors, we get
$10648=\underset{–}{2\times 2\times 2}\times \underset{–}{11\times 11\times 11}$
$\therefore \sqrt[3]{310648}=(2\times 11)=22$