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.
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This depends on what you mean by smallest. The smallest four-digit whole number is 1,000; the smallest four-digit real number is .0001 (1/10,000); the smallest four-digit integer is -9,999.
The smallest four digit whole number is 1000.
The smallest four digit odd integer is 1001.
1002 is the smallest 4 digit number divisible by 3 and 2.
8192 has 13 prime factors