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The coach of an athletic team has a certain number of jerseys that he will distribute among his players. If there are

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The coach of an athletic team has a certain number of jerseys that he will distribute among his players. If there are more than 16 jerseys, and between 2 and 16 players, is it possible to distribute all of the jerseys so that each player receives the same number of jerseys?

(1) If there were 17 more jerseys, it would be possible to distribute all of the jerseys so that each player receives the same number of jerseys.
(2) If there were 15 more jerseys, it would be possible to distribute the jerseys so that each player receives the same number of jerseys.


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