Depending on the number of teams, the possible numbers of students per team are in the set:
{2, 3, 4, 6, 9, 12, 18}
We know that there are 36 students divided equally into N teams.
Such that the number of teams is larger than 1 and smaller than 20.
Then we could have 2 teams, such that the number of students in each team is given by the quotient between the total number of students and the number of teams.
36/2 = 18
There are 18 students in each team.
Notice that the numbers of teams can only be factors of 36, where:
36 = 6*6 = 2*2*3*3
So the factors are:
2, 3, 2*3, 3*3, etc...
If there are 3 teams we have:
36/3 = 12 students per team.
If there are 6 teams we have:
36/6 = 6 students per team.
if there are 9 teams:
36/9 = 4 students per team.
If there are 12 teams:
36/12 = 3 students per team.
If there are 18 teams:
36/18 = 2 students per team.
These are all the possibilities.
If you want to learn more about factors:
https://brainly.com/question/219464
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