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