Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.
Let’s find out the prime factors of the given number,
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
1323 = 3 × 3 × 3 × 7 × 7
As we can see, one 7 is required to make the pair of two triplets. So, 7 will be the smallest number to multiply 1323 to make it the perfect cube.