## Task 4 - 030934

The product of four consecutive natural numbers is 110355024.

What are the numbers? The solution process must be explained in detail!
The natural numbers are $n, n+1, n+2, n+3$.

According to the given condition, $n(n+1)(n+2)(n+3)=110355024$. This implies $n^{4}n(n+1)(n+2)(n+3)>100000000$, thus $n+3>100$, so $n>97$. Therefore, $97<n<104$.

110355024 is not divisible by 5, hence none of the sought numbers are divisible by 5.

This is only true for $n=101$. The sought numbers are therefore 101, 102, 103, 104.

Taken from $[5]$