If n is a natural number, then (6n2 + 6n) is always divisible by:
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6n^2+6n=6n(n+1)
if n=1,
6n(n+1)=12
if n=2,
6n(n+1)=36=12*3
if n=3,
6n(n+1)=72=12*6
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