Question

Which is the smallest number that can be used to divide 483840 to give a perfect cube?

Answer 1

Hello user

Writing the prime factorization of 483840, we get

483840 = (2×2× 2)× (2 × 2 × 2 )× (2 × 2 ×2) × 13 × 13 × 5

Here, we can see that 2 get clubbed in the pair's of 3's whereas 13 and 5 won't get.


So, 169× 5 =845

So, 483840 should be divided by 845 to obtained a perfect cube.


Hope it works