2021 AMC 10A Problem 11

For which of the following integers b is the base-b number 2021_b - 221_b not divisible by 3?

\textbf{(A)} ~3 \qquad\textbf{(B)} ~4\qquad\textbf{(C)} ~6\qquad\textbf{(D)} ~7\qquad\textbf{(E)} ~8

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