Question 1100005
integers: (n - 1)(n)(n + 1)


There will be 1 odd, 2 even numbers or 2 odd, 1 even number, so the product is divisible by 1.


Here are the possible remainders when the number is divided by 3:
0, 1, 2
1, 2, 0
2, 0, 1


There will always be at least one multiple of 3 in the product, so overall, the product is divisible by 6.