2018 AMC 12B Problems/Problem 19
Problem
Mary chose an even 4-digit number 
. She wrote down all the divisors of in increasing order from left to right: 
. At some moment Mary wrote 323 as a divisor of . What is the smallest possible value of the next divisor written to the right of 323?
![\[\textbf{(A) } 324 \qquad \textbf{(B) } 330 \qquad \textbf{(C) } 340 \qquad \textbf{(D) } 361 \qquad \textbf{(E) } 646\]](http://latex.artofproblemsolving.com/b/c/7/bc713edb854432dd093e85a55cc2489720cf20fb.png)
