AMC 10 2020a Problem 22

For how many positive integers $n \le 1000$ is$$\left\lfloor \dfrac{998}{n} \right\rfloor+\left\lfloor \dfrac{999}{n} \right\rfloor+\left\lfloor \dfrac{1000}{n}\right \rfloor$$not divisible by $3$? (Recall that $\lfloor x \rfloor$ is the greatest integer less than or equal to $x$.) $\textbf{(A) } 22 \textbf{(B) } 23 \textbf{(C) } 24 \textbf{(D) } 25 \textbf{(E) } 26$