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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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
501
58
you have to divide the remainder by the number you are dividing
The set of integers includes negative integers as well as positive integers. It also includes the number zero which is neither negative nor positive.
These are positive integers, usually denoted with the symbol (+) the number. Check the video on youtube Ordering Integers.