Challenging a question on the platform about measures of position

GRE Quant Problem Solving
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In the image above, Greg says the answer is 180. If the question was phrased to ask the “smallest value of n” the answer would be 60.

I somehow arrived at the answer 24, assuming the “smallest value of n” to be 14.

Can 14 not be divided into halves of 7 each, thirds of 4 each, quartiles of 3 each and quintiles of 2 each? Thereby making the smallest value 14 (and the 2nd and 3rd smallest, 15 and 24 respectively)?

Am I missing something?

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Reference: PrepSwift Tickbox Quiz #13, Q #16

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The word “evenly divided” in the question means nothing (no people) are left over → all of them have to belong to a group.

In your example, when you divide 14 into thirds, quartiles and quintiles there are people left over

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