2019 AMC 12A Problem 4

What is the greatest number of consecutive integers whose sum is 45?

\textbf{(A) } 9 \qquad\textbf{(B) } 25 \qquad\textbf{(C) } 45 \qquad\textbf{(D) } 90 \qquad\textbf{(E) } 120

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