Question

Is 3675 is perfect square? If not find the smallest number by which it should be multiplied to get the perfect square?

Answer 1

If we do the prime factorisation of 3675
We get, 3675=5×5×7×7×3×1
There is no pair of 3, so we should multiply 3675 by 3 to get a perfect square..
Check = 5×7×3
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Answer 2

The factors of 3675 are 5*5*7*7*3 since 3 doesn't has a pair so we will multiply the number by 3 to get a complete pair of 3
✓(3675*3)=✓(5*5*7*7*3*3)= 5*7*3

So we must multiply 3 to make 3675 a perfect square.