Question

Find the smallest number by which 25200 should be divided so that the result is a perfect square

Answer 1

Answer:

2 l 25200

2 | 12600

2 l 6300

2 l 3150

3 l 1575

5 l 525

3 l 105

5 l 35

7 l 7

...25200=2x2×2x2x3x5x3×5x7

Here only the number 7 is not paired up.So, Also 3600 is a perfect square=v3600360

25200/7=3600

and 602=3600.