Find the smallest number by which 26244 should be divided so that the quotient is a perfect cube.

Finding prime factors of 26244:

$26244 = 2 \times 2 \times (3 \times 3 \times 3) \times (3\times 3 \times 3) \times 3\times 3$

Since the prime factor 2 and 3 are not in triplets.

26244 should be divided by 36 (2 x 2 x 3 x 3) so that the quotient is a perfect cube.