Yes, the statement “the product of three consecutive positive integers is divisible by 6” is true.
Justification:
Consider the 3 consecutive numbers 2, 3, 4
(2 × 3 × 4)/6 = 24/6 = 4
Now, consider another 3 consecutive numbers 4, 5, 6
(4 × 5 × 6)/6 = 120/6 = 20
Now, consider another 3 consecutive numbers 7, 8, 9
(7 × 8 × 9)/6 = 504/6 = 84
Hence, the statement “product of three consecutive positive integers is divisible by 6” is true.