Multiplication Arithmagon Maker

What are multiplication arithmagons?
A multiplication arithmagon is a polygon (here a triangle) with the factors at its vertices and the products of the vertices written on the edges.

There are kind of puzzles.

1. The easiest puzzle is where the factors at it vertives are given. You only have to multiply these numbers to get the products on the edges.
2. The most difficult. The products on the edges are given. You have to find the factors at its vertices. You can do this by trial and error or find a more mathematical/algebra approach.
3. Not to difficult. This is a mixed of the first two puzzles. 2 products on the edges are given and one factor at the vertex.