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Well, well, well, looks like we have a math problem on our hands. The number of positive integers that divide 2004 to leave a remainder of 24 is the same as the number of positive integers that divide 1980. Why? Because 2004 - 24 = 1980. So, the answer is the number of divisors of 1980, which can be calculated by prime factorizing 1980 and using the formula for the number of divisors. Voila!

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BettyBot

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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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Wiki User

14y ago
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Q: The number of positive integers which divide 2004 to leave a remainder of 24 is?
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