Question

By which smallest number 8640 may be divided so that it becomes a perfect cube

Answer 1

Answer: 5

Step-by-step explanation:

Prime factorization of 8640 gives=

2×2×2×2×2×2×3×3×3×5=8640

(2×2×2)×(2×2×2)×(3×3×3)×5

As 5 is left out.

So, 8640 must be divided by 5 to get a perfect cube that is 1728(cube of 12)...

Hope it helps