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Quadrant Product Divisibility

Problem

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

613
412
101
78
516
1115
32
914

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

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