If $x$ is a positive integer, is $(x)(x + 2)(x + 4)$ divisible by $12?$

If $x$ is a positive integer, is $(x)(x + 2)(x + 4)$ divisible by $12?$

(1) $x^2 + 2x$ is a multiple of $3.$

(2) $3x$ is a multiple of $2.$

Answer: B

Source: Manhattan GMAT

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