Question 920899
{{{n(n+1)(n+2)}}} is a multiple of {{{6}}}

{{{n}}}_________| {{{1}}}| {{{2}}}| {{{3}}}| {{{4}}}| {{{ 5}}}|
{{{n(n+1)(n+2)}}} |{{{6}}} | {{{ 24}}}| {{{ 60}}}|{{{120}}}|{{{210}}}|

{{{6}}}, {{{ 24}}},{{{ 60}}},{{{120}}},{{{210}}} are all divisible by {{{6}}}