Find the smallest number by which 10368 be divided so that the result is a perfect square. Also, find the square root of the resulting number.

Finding prime factors of 10368

$10368 = (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times 2 \times (3 \times 3) \times (3 \times 3)$

Since the prime factor 2 is not in pair.

$10368 ÷ 2 = 5184\\[1em] \sqrt{5184} = 2 \times 2 \times 2 \times 3 \times 3\\[1em] \sqrt{5184} = 72$

2 should be divided by 10368 so that the 5184 is a perfect square and square root of 5184 is 72.