If \(a, b,\) and \(c\) are each positive integers greater than \(1\) is the product \(abc\) divisible by \(6?\)

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If \(a, b,\) and \(c\) are each positive integers greater than \(1\) is the product \(abc\) divisible by \(6?\)

(1) The product \(ab\) is even.
(2) The product \(bc\) is divisible by \(3.\)

Answer: C

Source: Manhattan GMAT
Source: — Data Sufficiency |