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There are two possible answers to this. The first is 96, which has 12 factors. These are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96. The other one is 72, which also has 12 factors. These are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

If you mean numbers with the most factors, none of which are duplicated, then there are many possible options, all of which have 8 factors. To find these numbers, simply multiply any 3 unique primes together. For instance, 2x3x5 = 30 which has 8 non-repeating factors. 2x5x7 = 70 which has 8 non-repeating factors.

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