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Ayushree
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Asked: 2025-08-01T10:25:05+00:00 In:

Can you use this insight to find more numbers with an odd number of factors?

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Yes, using this insight, we can find all numbers that are perfect squares because they alone have an odd number of factors. Examples include 1, 4, 9, 16, 25 and so on, where one factor repeats in the pair.

Class 8 Mathematics Ganita Prakash A Square and A Cube

Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube NCERT solutions

a square and a cube class 8 notes maths chapter 1a square and a cube ncert solutions class 8 notesuse this insight to find more numbers with an odd number of factors
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    1. We can use the insight about factor pairs to find all numbers with an odd number of factors. Only perfect squares like 1 (1×1), 4 (2×2), 9 (3×3), etc., have a repeated factor, giving them an odd count. These square numbers are the only ones toggled an odd number of times, so only they remain open. This understanding helps in identifying perfect squares just by counting their factors.

       

      For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

      https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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