2016 AMC 12B Problem 16

In how many ways can 345 be written as the sum of an increasing sequence of two or more consecutive positive integers?

\textbf{(A)}\ 1\qquad\textbf{(B)}\ 3\qquad\textbf{(C)}\ 5\qquad\textbf{(D)}\ 6\qquad\textbf{(E)}\ 7

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