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akapolo
 Post subject: on number theory
PostPosted: Mon Sep 11, 2006 10:17 pm 
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Please throw more light on this problem. I found a solution in the Arithmetic book of the Advanced Math Book set. However, I don't understand it well.
Q:
A 6 digit number is formed by repeating a two digit number three times (such as 35 35 35). Which two digit number always divides such numbers?

thanks
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anshul_p1985
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PostPosted: Sat Sep 16, 2006 1:47 pm 
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if the no is ababab
then it can be written as 101010a+10101b
or 10101(10a+b)
which means that the no is always divisible by ab itself
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akapolo
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PostPosted: Sat Sep 16, 2006 8:43 pm 
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thanks for the solution
good luck with your studies
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chourasia_deepak
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PostPosted: Mon Sep 18, 2006 12:48 pm 
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The number is 353535
can we write it as 350000 + 3500 + 35
then 35(10000+100+1)
=>35*10101 (this in the form of ab * 10101)
So I can say the number in the form of ababab is always divisible by 10101 or its factors....or even with number ab
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vishal gurram
 Post subject: Re: on number theory
PostPosted: Thu Sep 24, 2009 1:01 pm 
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Good Explanation 8)
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