Question

what should be the least positive integer by which 8640000 is to be divided so that the resulting quotient is a perfect cube? find the cube root of the resulting quotient.​

Answer 1

Here

8640000=2×2×2×2×2×2×2×2×2×3×3×3×5×5×5×5

The least positive integer required is 5

Therefore the resulting number is 8640000÷5 i.e.1728000,which is a perfect cube

1728000=2×2×2×2×2×2×2×2×2× 3×3×3×5×5×5

=2×2×2×3×5

=120

Hope it will help you