GMAT Problem Solving Question 07: Divisibility and factorization

 
The following GMAT Problem Solving question tests your ability to apply concepts of divisibility and prime factorization.

Question 7:

What is the least value of $n$ for which the product of the first $n$ positive integers is divisible by $8505$ ?

1. $\quad 9$
2. $\quad 12$
3. $\quad 15$
4. $\quad 18$
5. $\quad 21$