• 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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.