Q12 of 114 Page 3

Find the smallest number by which 28812 must be divided so that it becomes a perfect square. Also find the number whose square is the resulting number.

Factors of 28812 are:

28812 = 2 × 2 × 3 × 3 × 3 × 17 × 17


Pairs = 22 × 32 × 172


Hence, 28812 should be divided by 3 in order to get a perfect square when divided by the least number


The square root will be:


2 × 3 × 17 = 102



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