Factor of a Large Product

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If n is the product of the even integers from 10 to 20, inclusive, what is the second-greatest integer m for which 2m is a factor of n?

Review: Factor of a Large Product


Explanation

We can write out exactly what n is with no trouble. It's



Converting this into prime factors:



That means that is the greatest power of 2 that is a factor of n. The second-greatest is .

The correct answer is (B).


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