If \(\dfrac{x}6\) is a positive integer, does \(x\) have more than two different positive prime factors?

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If \(\dfrac{x}6\) is a positive integer, does \(x\) have more than two different positive prime factors?

(1) \(\dfrac{x}4\) is a positive integer.

(2) \(\dfrac{x}9\) is a positive integer.

Answer: E

Source: Economist
Source: — Data Sufficiency |