If \(x\) is a positive integer greater than \(1,\) is \(x\) a prime number?

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If \(x\) is a positive integer greater than \(1,\) is \(x\) a prime number?

(1) \(x\) does not have a factor \(p\) such that \(2<p<x.\)

(2) The product of any two factors of \(x\) is greater than \(2\) but less than \(10.\)

Answer: B

Source: GMAT Club Tests