Sometimes the product of 1 to N is divisible by the sum of 1 to N, and sometimes it isn't. For instance, (1x2x3)/(1+2+3) is 1, but (1x2x3x4)/(1+2+3+4) is not a whole number. And then (1x2x3x4x5)/(1+2+3+4+5) is 8. There are more examples always, always more when you look for more(Edited 38 seconds later.)