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There are positive integers which divide 2004 to leave a remainder of 24:

30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, and 1980

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Q: The number of positive integers which divide 2004 to leave a remainder of 24 is?
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