Q13 of 114 Page 3

Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also find the number whose square is the resulting number.

Factors of 1152 are:


1152 = 27 × 32


Pairs = 26 × 32


Hence, 1152 should be divided by 2 in order to get the perfect square.


Hence the number after division by 2 = 1152/2 = 576


Factors of 576 are = 26 × 32 = 242


Hence, resulting number is the square of 24.


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