Answer:
6
Step-by-step explanation:
2904 = 2 x 2 x 2 x 3 x 11 x 11 = (2 x 3) x (2 x 2) x (11 x 11)
=> Smallest number by which 2904 must be divided so that it becomes a perfect number MUST belong to
{(2 x 3), (2 x 3) x (2 x 2), (2 x 3) x (2 x 2) x (11 x 11)} = {6, 24, 2904}
It is easy to see that the solution is 6
(this is the smallest number in collection above)
