A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?

(1) It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.

(2) It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.

At first I didn't know how to attack but let's see:

3 < m < 13 means that (1) m is integer (since there's no such thing as half a classroom) (2) m could take the values 4, 5, 6, 7, 8, 9, 10, 11, 12

13 < n means that (1) n is an integer (same reason as above) (2) n could take the values 14, 15, 16, 17, 18, 19 and so forth

Now, here I get stuck

(1) It is possible to assign each of 3n students to one of m classrooms
So, say n = 14, 3n = 42 -> we could assign 42 students in of the m classrooms (and then? I don't know what to do with this data)

(2) It is possible to assign each of 13n students to one of m classrooms
I don't know what to do with this.

Please help.