# Puzzles

## Elastic numbers

*Throughout this puzzle, expressions like \(AB\) will represent the digits of a number, not \(A\) multiplied by \(B\).*

A two-digit number \(AB\) is called

*elastic*if:- \(A\) and \(B\) are both non-zero.
- The numbers \(A0B\), \(A00B\), \(A000B\), ... are all divisible by \(AB\).

There are three elastic numbers. Can you find them?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIX,

puzzles about numbers, or a random puzzle.

puzzles about numbers, or a random puzzle.