No, not every number has an even number of factors. Most numbers do, but perfect square numbers have an odd number of factors because one factor (like 6 in 36) is repeated and does not pair with a different number. Class ...
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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 ...
250 is not a perfect square. We know 15² = 225 and 16² = 256, so √250 lies between 15 and 16. Since 250 is closer to 256, the approximate square root of 250 is slightly less than 16. Class 8 ...
No, he cannot cut a 15 cm square handkerchief because 15² = 225, which is more than 125. The nearest perfect square below 125 is 121 and √121 = 11. So, he can cut a handkerchief of side 11 cm. Class ...
Only 1089 is a perfect square; it is 33². All others—2032, 2048 and 1027—are not perfect squares because their square roots are not whole numbers. You can verify this using either a calculator or prime factorisation. Class 8 Mathematics Chapter 1 ...