I hope everyone's ready for a fun - albeit a little mathy - brain teaser. Enjoy!
Note: If you could all please input your answers using the previously noted html code it will allow others to answer without having a spoiler. Copy it verbatim and do not stick any " or ' in your answer and it will work.
Question
The set of numbers {9, 99, 999, 9999, ...} has some interesting properties. One of these has to do with factorization. Take any number n that isn't divisible by 2 or by 5. You will be able to find at least one number in the set that is divisible by n. Furthermore, you won't need to look beyond the first n numbers in the set. Prove it.
Good luck!
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