2009 AMC 10B Problem 6

Kiana has two older twin brothers. The product of their three ages is 128. What is the sum of their three ages?

\text{(A) } 10 \qquad \text{(B) } 12 \qquad \text{(C) } 16 \qquad \text{(D) } 18 \qquad \text{(E) } 24

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.