Question

By what least number should 1536 be divided to get a perfect cube?
(a) 3 (b) 4
(c) 6 (d) 8

Answer 1

Factorising 1536, we get
$1536=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3$
= $2^3\times 2^3\times 2^3\times 3$
We see that 3 is left
$\therefore$ In order to make it a perfect cube, we should divide it by 3