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divisibility test

 
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dass_07



Joined: 02 Mar 2006
Posts: 9
PostPosted: Fri Jul 14, 2006 9:55 am    Post subject: divisibility test Reply with quote
A N digit number is formed only of 8's and 0's. What is the smallest such number formed is exactly divisible by 576??
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malik1984



Joined: 09 Apr 2007
Posts: 4
Location: rohtak
PostPosted: Thu Apr 12, 2007 6:11 pm    Post subject: divisiblity test Reply with quote
hi,
i think smallest no. is 8088888888
as 576 = 8^8^9
so number should be divisible by 9 ,means sum of digits should be divisible by 9
so. min. sum of digits is LCM of 8 and 9 =72
and since 0 is also present in the Number

so there should be nine 8s and one 0 ,thereby making the smallest number .
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