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.