Question

relating factors and multiples i - item 33576
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. If a number can only be divided evenly by 1 and itself, it can't be divided into smaller equal - sized groups (other than groups of 1).

Step2: Analyze the Number of Factors

For a prime number, the factors are 1 and the number itself. So a prime number has exactly 2 factors.

Step3: Identify a Prime Number Example

Some prime numbers are 2, 3, 5, 7, 11, etc. For example, if the number of players is 7, it can only be divided into groups of 1 or 7. Since we need to form smaller equal - sized groups (smaller than the total number of players), and 7 can't be divided into smaller equal - sized groups (other than groups of 1), 7 is a valid number of players.

Answer:

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