If \(x\) is an integer, is \((x^2 + 1)(x + 5)\) an even number?

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If \(x\) is an integer, is \((x^2 + 1)(x + 5)\) an even number?

(1) \(x\) is an odd number.

(2) Each prime factor of \(x^2\) is greater than \(7.\)

Answer: D

Source: GMAT Prep