Problem 1

We were using the numbers 1-6, and tried to place them in the hexagons that surround the 12. We wanted each number that we placed to be a factor of (divides exactly into) the total of the numbers in the hexagons that touch it. For example, 4 in the top hexagon is a factor of 6 + 12 + 2 = 20, because 4 X 5 = 20, but 2 is not a factor of 
4 + 12 + 3 = 19.

Problem 2

We were using the numbers 1 - 9, and tried to place them in the hexagons so that the number in each hexagon is a factor of (divides exactly into) the total of the numbers in the hexagons that touch it.
For example, 5 in the top hexagon is a factor of 8 + 3 + 4 = 15, because
5 X 3 = 15.

1. Please tell us where we went wrong.
2. We should have guessed ... the number 6 has to go in the middle! But how should the other hexagons be filled?