Question

What is the smallest number by which 26244 must be divided to give a perfect cube?

Answer 1

26,244 =
4 * 6,561 =
4 * 9 * 729 =
4 * 9 * 9*81 =
4 * 9 * 9*9*9 =
2*2 * 3*3 * 3*3 * 3*3 * 3*3

Group as many cubes as you can
2*2 * 3*3 * (3*3*3) * (3*3*3)
2*2 * 3*3 * (3*3)^3

So if we divide by 2*2 * 3*3 = 36, we'll end up with the biggest cube we can get.