Smallest positive integers with digit 0,8

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Moon
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Smallest positive integers with digit 0,8

Unread post by Moon » Tue Dec 14, 2010 12:33 am

Find the smallest positive integer $n$ such that every digit of $15n$ is $0$ or $8$.
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HandaramTheGreat
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Re: Smallest positive integers with digit 0,8

Unread post by HandaramTheGreat » Tue Dec 14, 2010 2:09 pm

$15n$'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...
$15n=8880$
$n=592$

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Re: Smallest positive integers with digit 0,8

Unread post by Moon » Tue Dec 14, 2010 3:19 pm

Nice solution! :)
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Dipan
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Re: Smallest positive integers with digit 0,8

Unread post by Dipan » Mon Dec 20, 2010 9:42 pm

Perfect.. :mrgreen:

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