In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?

The answer has 4 possible solutions as below:

8 teams with 3 players

6 teams with 4 players

4 teams with 6 players

3 teams with 8 players

Step-by-step explanation:

First we need to decide number of groups that could be possibly created:

24, 12, 8, 6, 4, 3, 2, 1

We know that there are more than two teams and each team have more that 2 players than 24, 12, 2 and 1 teams are eliminated.

So there are three possible solution is exist for this problem:

8 teams with 3 players

6 teams with 4 players

4 teams with 6 players

3 teams with 8 players