32 players show up to practice one day, and the coach realizes she can't

make equal teams of 6. With 32 players, how many players can the coach
put on each team so that each player is on a team and every team has the
same number of players?

If the coach cannot make equal teams of 6, it means that the number of players is not divisible by 6.

The factors of 32 are 1, 2, 4, 8, 16, and 32.
Since the coach wants all players to be on teams and each team to have the same number of players, all the players must be divided into teams with equal numbers of players.
The coach can only make teams of 1, 2, 4, 8, 16, or 32 players.