Question

coach green wants to divide her volleyball team into smaller, equal - sized groups of players for practice. however, she finds that her team cannot be divided evenly into any size group except for individual groups of 1. complete the statements below about the number of players on coach greens team. coach green cannot form smaller equal - size groups because the number of players on her team is. this means that the number of players on the team has factors. coach green could possibly have players on her team.

Explanation:

Step1: Understand Prime Numbers

A prime number is a number greater than 1 that has exactly two distinct positive divisors: 1 and itself. So, if a number can only be divided evenly by 1 and itself, it's prime.

Step2: Analyze the Team Size

Since the team can't be divided evenly into any group size except 1, the number of players has only 1 and itself as factors. This fits the definition of a prime number.

Step3: Determine Number of Factors

A prime number has exactly 2 factors: 1 and the number itself.

Step4: Example of Prime Number

Some prime numbers are 2, 3, 5, 7, 11, etc. For example, if there are 7 players, the only groups are 1 or 7, so it can't be divided into smaller equal - sized groups (other than size 1).

Answer:

1. Coach Green cannot form smaller equal - size groups because the number of players on her team is a prime number.
2. This means that the number of players on the team has exactly 2 factors.
3. Coach Green could possibly have 7 (or any other prime number like 2, 3, 5, 11, etc.) players on her team.