Question

Amal has 46 trophies and wants to store them in boxes such that each box has the same number of trophies. In how many ways can he do this?

Answer 1

To find the number of possible distributions of trophies we need to find the factors of 46.
Factor pairs of 46 = 1 x 46,2 x 23, 23 x 2, 46 x 1
Factors of 46 = 1, 2, 23, 46
Total number of ways = 4