Is 1188 a perfect cube. if not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube

1188 = 2 * 2 * 11 * 3 * 3 * 3

11 has only 1 factor present so 11 must be one of the things you divide by

2 * 2 = 4 is another one. In order to have a perfect cube you need 3 prime factors not just 2

So 1188 must be divided by 11 * 4 = 44

When you do that, you get 27 which is a perfect cube.