Question

Find the cube root of the following number by the prime factorization method.
91125

Answer 1

Sum of the number $91125=18$ that means the number is divisible by $3$. Also, the number ends with $5$ therefore, it is also divisible by $5$.

Thus,

$91125=5\times 5\times 5\times 3\times 3\times 3\times 3\times 3\times 3$

$=5^3\times 3^3\times 3^3$

$\Rightarrow \sqrt[3]{391125}=5\times 3\times 3=45$