Question

A teacher divides the students into three groups for project each group has the same number of students in the total of number students prime or composite

Answer 1

Answer:

The total number of students is composite

Step-by-step 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