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Question
Which of the following number square of even number?
324
Solution
The numbers whose last digit is odd can never be the square of even numbers use prime factorisation method and make pairs of equal factors.
324 = 2 x 2 x 3 x 3 x 3 x 3
= (2 x 2) x (3 x 3) x (3 x 3)
There are no factors that are not paired. Hence, 324 is a perfect square. The square of an even number is always even. Hence, 324 is the square of an even number.
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