Question

By what smallest number $5184$ be divided, so what the resulting number becomes a perfect cube?

Answer 1

Firstly we need to factorize the number $5184$

After factorization we get,

$\Rightarrow 5184=\underset{–}{2\ast 2\ast 2}\ast \underset{–}{2\ast 2\ast 2}\ast \underset{–}{3\ast 3\ast 3}\ast \underset{–}{3}$

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

The number $3$ does not form a triplet. Hence the number $3$ has to be divided so that the quotient becomes a perfect cube.