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The list of all positive divisors (i.e., the list of all integers that divide 825) is as follows: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. For 825 to be a prime number, it would have been required that 825 has only two divisors, i.e., itself and 1.
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