Khoisnam figured it out by realizing that lockers toggled an odd number of times would remain open. Only perfect square numbers have an odd number of factors. So, locker numbers that are perfect squares remain open at the end. Class 8 ...
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No, a cube cannot end with exactly two zeros. If a number ends in two zeros, it must be divisible by 100. Its cube will end with at least three zeros, because the number gets multiplied three times. Class 8 Mathematics ...
To check if a number is a perfect square, we list square numbers or use prime factorisation. If its factors make perfect pairs, it’s a square. Then we can find its square root by grouping those pairs and multiplying one ...