Quadrant Product Divisibility
Problem
The numbers 1 to 16 have been arranged randomly in the 2 by 2 grid.

The product of the numbers in each quadrant are 3744, 560, 13200, and 756, respectively; all but the last quadrant are divisible by 16.
How would you arrange the numbers 1 to 16 in the grid, such that the product of the numbers in each quadrant is divisible by 16?
Problem ID: 222 (24 May 2005) Difficulty: 2 Star