find the least number which is a perfect square and has 540 as a factor. also write the steps.

ANS: By prime factorisation of 540 we get 540 = 2*2*3*3*3*5  

Now we see that 540 is short of 3and five in forming a perfect square  therefore we multiply 3*5 to 540 = 8100

Therefore 8100 is the least perfect square which has 540 as a factor.