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Quadrant Product Divisibility

The numbers 1 to 16 have been arranged randomly in the 2 by 2 grid.

6	13
4	12

10	1
7	8

5	16
11	15

3	2
9	14

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