AMC 8 2026 (Problem 16)

Consider all positive four-digit integers consisting of only even digits. What fraction of these integers are divisible by 4?
(A)  14\text{(A)}\;\frac{1}{4}(B)  25\text{(B)}\;\frac{2}{5}(C)  12\text{(C)}\;\frac{1}{2}(D)  35\text{(D)}\;\frac{3}{5}(E)  34\text{(E)}\;\frac{3}{4}