How many of the positive divisors of 240 are also multiples of 4 not including 240?  Choose the correct choice from the following choices
A) 6  B) 8  C) 9  D) 11  E) 12
240 = 2^4 * 3 * 5 = (4) * 2^2 * 3 * 5   Besides (4), the exponents of 2, 3, and 5 are 2, 1, and 1.   There are (2+1)(1+1)(1+1) = 12 ways to make multiples of 4.   We must subtract 1 because one of these multiples is 240.   The answer is 11.
<result>D</result>
How many of the positive divisors of 240 are also multiples of 4 not including 240?