Check sibling questions


  • 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?

Checking if perfect square by prime factorisation - Part 2

Here, 2, 3, 5 are not in pairs

So, 120 is not a perfect square

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.