Henry Ernest Dudeney/Puzzles and Curious Problems/323 - Cats and Mice

by : $323$

 * Cats and Mice
 * A number of cats (more than one) killed between them $999 \, 919$ mice, and every cat killed an equal number of mice (more than one).
 * Each cat killed more mice than there were cats.


 * How many cats were there?

's original question was wordy to the extreme.