Here is the labeling of the 9 positions from before.
A B C D E F G H I
Suppose we are at E with an odd number. Where can we go to? Going to D and F is not an option, and going to H gives us an odd number, so we will be forced to proceed to G, and hope that we have a multiple of 3. Even if it is, we will be at D with an odd number, and forced to go to A and then to B. However, we will then have a multiple of 4, and we find ourselves in the same "dead man's loop" that we saw in the last hint.
Thus, we find another rule that will help us in solving the maze: Any time we are in the center with an odd number, we must go up to B.
But once we go up to B, where should we go?
Still need another hint? Click here.