Answer:
See explanation
Step-by-step explanation:
Consider the natural number [tex]n(n+1)(n+2).[/tex]
If [tex]n[/tex] is the natural number, then [tex]n+1, \ n+2[/tex] are next two natural numbers, so numbers [tex]n,\ n+1[/tex] and [tex]n+2[/tex] are three consecutive numbers.
Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product
[tex]n(n+1)(n+2)[/tex]
is divisible by 6.
