SOLUTION: why is the product of 3 consecutive integers divisible by 6

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Question 511053: why is the product of 3 consecutive integers divisible by 6
Answer by richard1234(7193) About Me  (Show Source):
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Because for any three consecutive integers, at least one of them is divisible by 2 and exactly one of them is divisible by 3. Hence the product must be divisible by 3.