GMAT Problem Solving Question 20: Prime factorization and divisibility

 
The following GMAT Problem Solving question tests your understanding of prime factorization and divisibility concepts that are tested on the GMAT.

Question 20:

If $252$ and $1176$ are factors of $n$, then which of the following could be the value of $n$ ?

1. $2^{3} \cdot 3^{2} \cdot 7^{2}$
2. $2^{6} \cdot 3^{1} \cdot 7^{2}$
3. $2^{5} \cdot 3^{3} \cdot 7^{3}$

1. $\quad \textrm{I only}$
2. $\quad \textrm{III only}$
3. $\quad \textrm{I and III only}$
4. $\quad \textrm{II and III only}$
5. $\quad \textrm{I, II, and III}$