Question

Which of the following number  square of even number? 

5476 

Answer 1

The numbers whose last digit is odd can never be the square of even number. use prime factorisation method and make pairs of equal factor. 

5476 = 2 x 2 x 37 x 37
                 = (2 x 2) x (37 x 37)
There are no factors that are not paired. Hence, 5476 is a perfect square. The square of an even number is always even. Hence, 5476 is the square of an even number.