Question

If marching bands vary from 21 to 49 players, which number of players can be arranged in the greatest number of rectangles?

Answer 1

the question becomes:
what number has the largest number of pairs of factors.
I think it is either 48 or 36
they have the same number of factor pairs.

1x48
2x24
3x16
4x12
6x8

1x36
2x18
3x12
4x9
6x6

Answer 2

687990

Answer 3

maybe

Answer 4

dis bad