If n is a positive integer, then n(n+1)(n+2) is always divisible by.
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A. even only when n is even
B. even only when n is odd
C. odd whenever n is odd
D. divisible by 3 only when n is odd
E. divisible by 12 whenever n is even
I understand why A through D can be eliminated because the product above will always be even since there is an even number in the product itself. n(n+1)(n+2) will also always be divisible by 3 because in any given consecutive series you will always have atleast 1 multiple of 3 included.
However for answer E, N can even AND odd and be divisible by 12:
n = 2, then 2*3*4 is divisible by 12,
BUT N can also be odd and divisible by 12:
n = 3, then 3*4*5 is divisible by 12.
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Answer:
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