(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let X=10000000099 represent an eleven digit no. and let Y be a four digit no. which divides X.Find the sum of the digits of the four digit no. Y.

2. Relevant equations

None

3. The attempt at a solution

I guess I have to factorize X. But it is really difficult to do so as i cant find a prime which divides it. Moreover i am in search for a systematic solution and not any trial method.Any help in this regard would be sincerely appreciated. Thank You.

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# Homework Help: Brain teasing problem in number theory

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