The product of any three consecutive natural numbers is always divisible byOptions39156

The product of any three consecutive natural numbers is always divisible by 6. Here's why:

Step 1: Let's denote the three consecutive natural numbers as n, n+1, and n+2.

Step 2: Among any three consecutive natural numbers, at least one number is divisible by 2 and at least one number is divisible by 3.

Step 3: If a number is divisible by 2, it means it's an even number. In any set of three consecutive numbers, there is always at least one even number.

Step 4: If a number is divisible by 3, it means that the sum of its digits is divisible by 3. In any set of three consecutive numbers, there is always at least one number whose sum of digits is divisible by 3.

Step 5: Therefore, the product of any three consecutive natural numbers is always divisible by 2 and by 3, which means it's divisible by 6.

So, the correct option is 6.