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.