Question

By what smallest number $29160$ be divided so that the quotient becomes a perfect cube?

Answer 1

Firstly we need to factorize the number $29160$

After factorization we get,

$\Rightarrow 29160=\underset{–}{2\ast 2\ast 2}\ast \underset{–}{3\ast 3\ast 3}\ast \underset{–}{3\ast 3\ast 3}\ast \underset{–}{5}$

We need to group the expanded numbers in a group of three since it has to be a perfect cube.

The number $5$ does not form a triplet. Hence the number $5$ has to be divided so that the quotient becomes a perfect cube.