Checking if perfect square by prime factorisation

Here,

• We do prime factorization of the number
• If the prime factorization forms pairs, then it is a perfect square
• If it doesn’t, then it isn't a perfect square

Let’s take some examples

Is 32 a perfect square?

Here, we do not get perfect square as one 2 is left alone.

So, 32 is not a perfect square

Is 120 a perfect square?

Here, 2, 3, 5 are not in pairs

So, 120 is not a perfect square