Suppose you want to prove that every product of integers of the form k(k+1)(k+2) is divisible by 6. If you want to prove this by cases, which of the following is a set of cases you would use?

• the product ends in 3, the product ends in 6, the product ends in 9
• when k is divided by 3, the remainder is 0; when k is divided by 3, the remainder is 1; when k is divided by 3, the remainder is 2 Correct
• k = 3n, k =E2=89=A0 3n
• k is prime, k is not prime