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 $8505$ ?

- $\quad 9$
- $\quad 12$
- $\quad 15$
- $\quad 18$
- $\quad 21$

**Video Explanation**