A -digit multiple of 13 has its first digit moved to the end of the number. For which values of does the resulting number remain a multiple of 13?
Example: For the number 503,906, moving the first digit gives 39,065, which is still divisible by 13. However, for the number 7,969, moving the first digit results in 9,697, which is not divisible by 13.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →