\(n\) is a positive integer less than \(300.\) Is \(n\) prime?

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\(n\) is a positive integer less than \(300.\) Is \(n\) prime?

(1) There is only one integer between \(1\) and \(\dfrac{n}2,\) exclusive, which divides \(n\) completely.

(2) The sum of all the factors of \(n\) is greater than \(n + 1.\)

Answer: D

Source: e-GMAT