Number Pad Snake
Number Theory
Level
1
On this number pad, a nine-digit number is made by walking through each digit once, starting from a random digit and only moving to adjacent digits.
That number is then divided by its first digit. In this example, \[{ \color{orange}9}87456321 รท {\color{orange}9} = 109717369.\] Will this method always result in an integer?
by
Brack Harmon