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The product of three consecutive positive integers is divisible by 6' . Is this statement true or false? justify your answer

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asked Jan 29, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 410 ● 940

The product of three consecutive positive integers is divisible by 6' . Is this statement true or false? justify your answer 

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answered Jan 29, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Jan 29, 2018 by sforrest072
 
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True, because n(n+1)(n+2) will always be divisible by 6, as least one of the factors will be divisible by 2 and at one of the factors will be divisible by 3.

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