Question

By what number 1536 were divided to get a perfect cube?

Answer 1

if we prime factories 1536 we get =2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
there is one three extra, so if we divide 1536 by 3 we will get a perfect square
the perfect square = 1536/ 3
                              = 512