Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
Let’s find out the prime factors of the given number,
2 | 8788 |
2 | 4394 |
13 | 2197 |
13 | 169 |
13 | 13 |
1 |
8788 = 2 × 2 × 13 × 13 × 13
So, in this pair of triplets, two 2 are extra. Therefore to get the perfect cube we have to divide the given number by 2×2, which is 4.