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Checking if perfect square using Prime Factorization
Last updated at July 30, 2025 by Teachoo
Class 8 (Ganita Prakash & Old NCERT)
Chapter 1 Class 8 - A Square and a Cube (Ganita Prakash)
- Introduction
- Square Numbers
- Perfect Squares - and its Properties
- Perfect Squares - and its Patterns
-
Square Root
- Smallest number multiply or divide to get perfect square
- Estimating Square Root
- Figure it out - Page 10, 11
- Cubic Numbers
- Perfect Cubes - and its Properties
- Perfect Cubes - and its Patterns
- Cube Root
- Smallest number multiply or divide to get perfect cube
- A pinch of History
- Figure it out - Page 16, 17
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
