\(x,y\) are positive integers. Find the number of even factors of \(4x^2.\)

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\(x,y\) are positive integers. Find the number of even factors of \(4x^2.\)

I. \(x^3-y^3+3xy\) is odd and \(x\) is a prime.
II. \(x^{x+y}\cdot y^{3x}+x^{3y}\) is odd.

Answer: C

Source: e-GMAT