Find the smallest number by which 1575 must be divided so that the quotient becomes a perfect square.
Given number is 1575 first we write it as the product of prime factors
3 | 1575 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
| 1 |
∴ 1575=3×3––––––×5×5––––––×7
Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect square