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प्रश्न
Which of the following number is squares of even number ?
256
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उत्तर
The numbers whose last digit is odd can never be the square of even numbers.
For each number, use prime factorisation method and make pairs of equal factors.
256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2)
There are no factors that are not paired. Hence, 256 is a perfect square. The square of an even number is always even. Hence, 256 is the square of an even number.
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