Checking if perfect square by prime factorisation

Last updated at April 16, 2024 by

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?

13.jpg

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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.