If a number is divisible by 6, then it is divisible by 2 and 3.  If a number is divisible by 2 and 3, then it is divisible by 6. If a number is divisible by 2 and 4, then it is divisible by 8. If a number is divisible by 8, then it is divisible by 2 and 4. A number is divisible by 8 if, and only if, it is divisible by 2 and by 4.

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