Question

32 players show up for practice one day, and the coach realizes she can't make my equal teams of 6. With 32 players, how many players can the coach put on each team s

Answer 1

To determine how many players the coach can put on each team, we need to look at the factors of 32 that can evenly divide the number of players.

The factors of 32 are: 1, 2, 4, 8, 16, and 32.

Since the coach wants to create teams, we should consider team sizes that are practical for group activities. The viable team sizes are typically more than 1 and up to half of the total number of players. Therefore, we can form teams of the following sizes:

- Teams of 1 player (32 teams)
- Teams of 2 players (16 teams)
- Teams of 4 players (8 teams)
- Teams of 8 players (4 teams)
- Teams of 16 players (2 teams)
- All 32 players on one team (1 team)

However, since the coach is looking for practical team sizes for practice, the most reasonable options are teams of size 2, 4, 8, or 16.

Ultimately, the coach can also form:
- Up to 5 teams of 6 players each (30 players) with 2 remaining, but not all players would be on a team.

Since the coach cannot make teams of 6 with exactly 32 players, the ideal solutions would normally involve groups of 4, 8, or other combinations rather than a specific size of 6 for all teams.

Thus, the coach could form teams of:
- 2 players (16 teams)
- 4 players (8 teams)
- 8 players (4 teams)
- 16 players (2 teams)

In conclusion, the coach cannot make equal teams of 6 with 32 players, but can form teams of sizes 2, 4, 8, or 16.