The product of any three consecutive natural numbers is always divisible byOptions36915
Question
The product of any three consecutive natural numbers is always divisible by
Options
- 3
- 6
- 9
- 15
Solution
The product of any three consecutive natural numbers is always divisible by 6.
Here's why:
Let's take any three consecutive natural numbers. We can represent them as n, n+1, and n+2.
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At least one of these numbers is even, which means it's divisible by 2.
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Also, in any set of three consecutive numbers, at least one of them is a multiple of 3.
Therefore, the product of any three consecutive natural numbers is always divisible by 2 and 3, which means it's divisible by 6.
So, the correct option is 6.
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