Checking if perfect square using Prime Factorization

Last updated at July 21, 2026 by

[Class 8 Maths] Checking if perfect square using Prime Factorization - Square Root

part 2 - Checking if perfect square using Prime Factorization - Square Root - Chapter 1 Class 8 - A Square and a Cube (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
part 3 - Checking if perfect square using Prime Factorization - Square Root - Chapter 1 Class 8 - A Square and a Cube (Ganita Prakash) - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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Transcript

Checking if perfect square using Prime Factorization We follow these steps 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? 32 = 2 × 2 × 2 × 2 × 2 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? 120 = 2 × 2 × 2 × 3 × 5 Here, 2, 3, 5 are not in pairs So, 120 is not a perfect square

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