Answer:
The total number of students is composite
Explanation:
* Lets explain how to solve the problem
- A teacher divides the students into three groups for project
- Each group has the same number of students
- We need to know the total number of students is prime number or
composite number
∵ The least number of any group is 2 students
∵ There are three groups
∵ The number of students in each group equal
∴ The least number of the students is 6
∵ Any number of students must be multiple of 3 because it will
divide by 3
∵ Any prime number has only two factors 1 and itself
∵ Any multiple of 3 (except 3) has more than two factors
∵ The class can not be 3 students because when divided to 3
groups each group will have 1 students and the least number of
students in a group is 2
∴ The number of the students in the class must be composite