Q8 of 45 Page 7

What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube ?

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.

More from this chapter

All 45 →