GATE 2011 Propositional Logic
 P(x) = ¬(x=1)∧∀y(∃z(x=y*z)⇒(y=x)∨(y=1))

(A) P(x) being true means that x is a prime number
(B) P(x) being true means that x is a number other than 1
(C) P(x) is always true irrespective of the value of x
(D) P(x) being true means that x has exactly two factors other than 1 and x

 

why option D is incorrect here?

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