By what least number should 648 be multiplied to get a perfect cube?
The prime factorization of 648 is :
2 | 648 |
2 | 324 |
2 | 162 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
648 = 2 × 2 × 2 × 3 × 3 × 3 × 3 = 2 × 2 × 2 × 3 × 3 × 3 × 3
So, we can see that to make it a perfect cube we should complete the pair of three 3’s .
Hence, it will be multiplied by = 3 × 3 = 9.