IMO 1992 LL TWN76

Given any triangle ABC and any positive integer n, we say

IMO 1992 LL TWN76

Origin: TWN

Problem

Given any triangle ABC and any positive integer n, we say that n is a decomposable number for triangle ABC if there exists a de- composition of the triangle ABC into n subtriangles with each subtriangle similar to \triangleABC. Determine the positive integers that are decomposable numbers for every triangle.