well, to work out if 5,676,882 is divisible by 6 then it has to be divisible by 2 and 3, because 2x3=6. we know it is divisible by 2 because it ends in a two. so now we have to know if it is divisible by 3. to do this, we add up all the digits, then if the answer is bigger than 9, we add those digits together again, rinse and repeat, until you get a one digit number. if that 1 digit number is 3,6 or 9, then the whole number is divisible by 3.
5+6+7+6+8+8+2=42
4+2=6
6 is divisible by three. therefore 5,676,882 is divisible by 3.
since it is divisible by 2 and 3, then it is also divisible by six.
so, 5,676,882 is divisible by 6.
