Kids Round Up Childrens Jewelry

My drafting teacher said that we need to design a labyrinth incorporating these numbers: 2-12, 14-16, 18, 20-22, 24-25, 27-28, 30, 32-33, 35-36, 42, 45, 49-50, 54-56, 60, 63-64, 66, 70, 72, 77, 80-81, 84, 88, 90, 96, 99-100, 108, 110, 120, 121, 132, 144. So, 55 numbers. I mapped out how it should look. A steel marble needs to go from one side to another, so that if these two numbers are multiplied, they would produce one of these 55 numbers. Rubber bands are put on two pegs to steer the direction of the ball. Here's an example. I want to make the number 12, so I put the ball in 3 and it goes through to 4. http://i43.tinypic.com/e81f5z.gif How should I create this maze?