Which of the following statements is true: (0) A number k divides the sum of three consecutive integers n, n + 1, and n + 2 if and only if it divides the middle integer n + 1. (1) An integer n is divisible by 6 if and only if it is divisible by 3. (2) For all integers a, b, and c, a|bc if and only if alb and a❘c. (3) For all integers a, b, and c, al(b+c) if and only if alb and a|c. (4) If r and s are integers, then r|s if and only if r²|s².