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72 is the second-smallest number with 12 factors. Its divisors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The smallest number with 12 factors is 60. Its divisors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
10, which has the factors 1,2,5 and 10. If the trivial pair 1 and the number itself are disallowed, the answer is 12 with factors 2,3,4 and 6.
6. Factors are 1, 2, 3, and 6.
144
The smallest number divisible by 2 4 6 8 10 12 14 is 840.