## 35. Product

The product of four consecutive numbers is 3024. What are these numbers?
35. The number 3024 does not end in 5 or 0. Therefore, none of these four numbers are divisible by 5 or 10. But if the four numbers in question were greater than 10, their product would definitely exceed 10000. In our case, this is not so, which means the four numbers must either be $1,2,3,4$ or $6,7,8,9$. However, in the first case, the product of the numbers is 24, which does not meet the condition of the problem.

Therefore, the numbers in question can only be $6,7,8,9$. It is easy to verify that their product is indeed 3024.