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6.
smallest 4-digit number divisible by 2 = 1000
The smallest number that is divisible by all the numbers 2 through 12 is 27,720.
Of 2, 3, 4, 5, and 8, the smallest number divisible by 2 is 2.
That would be the same as the smallest four-digit even number: 1,000, which also happens to be the smallest four-digit whole number.