## Smallest positive integers with digit 0,8

### Smallest positive integers with digit 0,8

Find the smallest positive integer $n$ such that every digit of $15n$ is $0$ or $8$.

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**Posts:**135**Joined:**Thu Dec 09, 2010 12:10 pm

### Re: Smallest positive integers with digit 0,8

$15n$'s last digit should be $0$ to be divided by 5 and it should have three $8$ so that it can be divided by 3...

$15n=8880$

$n=592$

$15n=8880$

$n=592$

### Re: Smallest positive integers with digit 0,8

Nice solution!

"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin

Please

Please

**install LaTeX fonts**in your PC for better looking equations,**learn****how to write equations**, and**don't forget**to read Forum Guide and Rules.