Hosted by The Math Forum## Problem of the Week 1025## Odd Couples
Given any two digits, one can look at integers made up of those digits (using each at least once) and divisible by each of them. For example, if the digits are 2 and 4 then 24 is the smallest such number. If the digits are 2 and 5 then there is no such number, since it would have to be divisible by 10, and so have a 0. If the digits were 3 and 4, then the number is 3444. For which pair of digits from 1,2,...,9 is this smallest number largest?
Source: © Copyright 2005 Stan Wagon. Reproduced with permission. |

[**Privacy Policy**]
[**Terms of Use**]

Home || The Math Library || Quick Reference || Search || Help

http://mathforum.org/

The Math Forum is a research and educational enterprise of the Drexel University School of Education.

8 February 2005