30 2*15 3*10 5*6
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4 : with factors 1, 2 and 4
6. Factors are 1, 2, 3, and 6.
Logically, the smallest number with 4 different prime factors would have to be the product of the smallest four prime numbers. So the smallest natural number with four different prime factors is 210 (2*3*5*7).
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.
1000 is the smallest 4 digit number but of the two factors, it is only divisible by 2. As 999 is obviously divisible by 3 then 999 + 3 = 1002 is also divisible by 3 and, as an even number, is also divisible by 2. The answer is 1002