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Magic square of products instead of sums

	The image shows the normal magic square with numbers from 1 to 9. The sum of each row, column, and diagonal is 15. Can you make a three by three magic square in which the product of each row, column, and diagonal is 1000? In each square you should have a different number.

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Hint: All the factors of the number 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, and 500. 1 should be included and 1000 should be excluded here. Choose 9 numbers from the list above. You should not choose 8, 125 and above.

Difficulty level = 2