After kicking, one coach likes to play practice games with 6 players on each
team. She doesn’t like any team to have more or fewer than 6 players and
she doesn’t like anyone to be left off a team. What are the possible numbers
of players who must show up to practice so that the coach can make these
teams?
In order to have 6 players on each team, the total number of players must be divisible by 6. Additionally, there can't be any players left off a team, so the total number of players cannot be less than 6.
The possible numbers of players who must show up to practice can be found by finding numbers that are divisible by 6 and equal to or greater than 6.
Some possible numbers are:
- 6 players: This is the minimum number of players required to have 6 players on each team.
- 12 players: This could be divided into two teams of 6 players each.
- 18 players: This could be divided into three teams of 6 players each.
- 24 players: This could be divided into four teams of 6 players each.
- And so on...
In general, any number that is divisible by 6 and equal to or greater than 6 is a possible number of players who must show up to practice.