2026 Fermat Problem 12

How many positive integers less than 100 can be written as the sum of three consecutive positive integers?

\textbf{(A)}\ 97\quad \textbf{(B)}\ 98\quad \textbf{(C)}\ 94\quad \textbf{(D)}\ 32\quad \textbf{(E)}\ 33

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.