Numbers are evenly divisible by 6 if they are evenly divisible by both 2 AND 3.
Even numbers are always evenly divisible by 2. Numbers are evenly divisible by 3 if the
sum of all the individual digits is evenly divisible by 3. For example, the sum of
the digits for the number 3627 is 18, which is evenly divisible by 3 but 3627 is
an odd number so the number 3627 is not evenly divisible by 6.