Yes, we can definitely say this. No square number ends in 2, 3, 7 or 8. So, if a number ends with any of these digits, it cannot be a perfect square. This rule helps quickly eliminate such numbers. Class 8 ...
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No, a number ending in 0, 1, 4, 5, 6 or 9 is not always a square. While all square numbers do end with these digits, not every number with these digits is a square. For example, 26 ends in ...
Square numbers always end in 0, 1, 4, 5, 6 or 9. No square ends in 2, 3, 7 or 8. Also, squares are formed by adding consecutive odd numbers starting from 1. Only squares have odd number of factors. Class ...
The five lockers that are toggled exactly twice are lockers numbered 2, 3, 5, 7 and 11. These are all prime numbers, which have only two factors—1 and the number itself—so they are touched just twice during the process. Class 8 ...
The locker numbers that remain open are the ones which are perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. These numbers have an odd number of factors and remain open after all toggling. Class 8 Mathematics ...