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Harry Rogahn

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3y ago
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15y ago

6 is 2 times 3. In any set of 3 CONSECUTIVE numbers, there will always be one number that is divisible by 3, and at least one number that is divisible by 2. Therefore, the product of these three numbers will be divisible by both 3 and 2. Any number that is divisible by both 2 and 3 must also be divisible by their product, 6. Oh, by the way, you need to alter the question slightly. It should read "3 consecutive integers".

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Q: If you take the 3 numbers in any consecutive trio and multiply them together to get a new number that new number will always be a multiple of 6 why is this?
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If you take the 3 numbers in any consecutive integers and multiply them together to get a new number that new number will always be a multiple of 6 why is this?

18


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