When 36 students are to be divided in to teams of equal size how many different ways can the students be divided?

Answer 1

1 team of 36 students

2 teams of 18

3 teams of 12

4 teams of 9

6 teams of 6

9 teams of 4

12 teams of 3

18 teams of 2 and

36 teams of 1

Answer 2

Well, honey, if you've got 36 students and you want to divide them into teams of equal size, you better hope that number divides evenly. In this case, since 36 can be divided by 1, 2, 3, 4, 6, 9, 12, 18, and 36, there are 9 different ways you can divide those little rascals. Math can be a real party pooper sometimes, can't it?

Answer 3

To determine the number of ways 36 students can be divided into teams of equal size, we first need to find the factors of 36, which are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Each of these factors represents a possible team size. Next, we need to calculate the number of ways the students can be divided into teams of each size. For example, if the team size is 2, there are 36!/(2!^18) ways to divide the students. Finally, we sum up the number of ways for each team size to get the total number of ways the students can be divided into teams of equal size.

Answer 4

7 different teams