Question

3. What is the smallest number by which 8640 may be
divided so that the quatient is a
perfect cube?​

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

In order to find the smallest number to be divided, first we factorise 8640.....

8640=2×2×2×2×2×2×3×3×3×5

5 occurs as a prime number only once.

Hence, 5 is the smallest number by which 8640 must be divided, so that the quotient is a perfect cube.