By what least number should 1536 be divided to get a perfect cube?
The prime factorization of 1536 is :
2 | 1536 |
2 | 768 |
2 | 384 |
2 | 192 |
2 | 96 |
2 | 48 |
2 | 24 |
2 | 12 |
2 | 6 |
3 | 3 |
1 |
1536 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
So, we can see that to make it a perfect cube we should eliminate one 3 from it.
Hence, it will be divided by = 3.