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I'm pretty sure the 2 represents the fact that the number 1.0 x 10^-3 has to be doubled since that will get you the correct indeterminacy in velocity.
The "2" means that the products of the numbers after it in the denominator have to be doubled. It is not a value that is obtained from the question itself, but rather from principle. Therefore, it is more like 2.000000000000... and the denominator is exactly doubled. Therefore, the "2" can be treated as a value with an infinite number of sig figs because it is exact.
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