# What will be the Smallest Number? If

What is the smallest number by which 625 must be divide so that the quotient is a perfect cube ?

- 25
- 5
- 2
- 3

**Answer: 2. 5;**

Explanation:

1. On dividing 625 by 25 the quotient will 25, but it is not a perfect cube, it is a perfect square; i.e 5*5=25 ,

** 2. On dividing 625 by 5 the quotient is 125, it is a perfect cube of 5; i.e. 5*5*5=125,
**3. 625 is not completed divide by 2, and

4. 625 is also not divisible by 3.