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Question
Which of the following number square of even number?
1296
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Solution
The numbers whose last digit is odd can never be the square of even number.
use prime factorisation method and make pairs of equal factors.
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
= (2 x 2) x (2 x 2) x (3 x 3) x (3 x 3)
There are no factors that are not paired. Hence, 1296 is a perfect square. The square of an even number is always even. Hence, 1296 is the square of an even number.
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