Question

Find the smallest number with which the following numbers should be divided,so that the quotient is a perfect square.

a)11200 b)8820
Please do explain step by step ​

Answer 1

Answer:

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= 3×33×5×7

Clearly 7 has no pair so if we divide it by 7 then quotient become a perfect square