2026 AMC 8 Problem 16

Consider all positive four-digit integers consisting of only even digits. What fraction of these integers are divisible by 4?

\textbf{(A)} \dfrac{1}{4} \qquad \textbf{(B)} \dfrac{2}{5} \qquad \textbf{(C)} \dfrac{1}{2} \qquad \textbf{(D)} \dfrac{3}{5} \qquad \textbf{(E)} \dfrac{3}{4}

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