If both 5^2 and 3^3 are factors of n x (2^5) x (6) x (7^3), what is the smallest possible positive value of n?  Choose the correct choice from the following answers:
A) 75 B) 125 C) 145 D) 175 E) 225
(2^5) x (6) x (7^3) has one appearance of 3 (in the 6) and no appearances of 5.   Thus n must include at least 3^2 * 5^2 = 9 * 25= 
<gadget id="calculator">9 * 25</gadget>
<output>225</output>
225   The answer is 225.
<result>E</result>
If both 5^2 and 3^3 are factors of n x (2^5) x (6) x (7^3), what is the smallest possible positive value of n?