Problem Solving (PS) | Re: How many factors of 10800 are perfect squares?

Another way:

10800 = 2^4 * 5^2 * 3^3

Perfect squares are those where all powers are even (multiples of 2). First step thus is to take out something common and leave in parenthesis everything that is a perfect square.

So 10800 = 3 * (2^4 * 5^2 * 3^2). Now whatever is inside parenthesis is a perfect square. Lets see what is it the square of ?

We can re-write this as: 3 * (2^2 * 5 * 3)^2.
Note that the expression after 3 is whole square of (2^2 * 5 * 3). Now how many factors does 2^2 * 5
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