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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4104 = 2³ + 16³ = 9³ + 15³ 13832 = 2³ + 24³ = 18³ + 20³ These are called taxicab numbers, which are expressible as the sum of two positive cubes in two distinct ways. Class 8 Mathematics Chapter ...
Yes, 324 is a perfect square. Its prime factorisation is 2 × 2 × 3 × 3 × 3 × 3. These can be grouped into two equal groups. So, 324 = 18 × 18 and its square root is ...