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May 23rd, 2019, 09:05 PM  #1 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  A multiple of the number 2017
Good morning all, Show that number $\displaystyle 2017$ has a multiple with only digits of $\displaystyle 1$. All the best, Integrator 
May 24th, 2019, 03:09 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2216 
The number 111..... (consisting of 2016 "1"s) is a multiple of 2017.

May 25th, 2019, 09:07 PM  #3  
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  Quote:
This is the smallest number formed with only digits of $\displaystyle 1$? Thank you very much! All the best, Integrator Last edited by Integrator; May 25th, 2019 at 09:09 PM.  
May 26th, 2019, 09:29 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,968 Thanks: 2216 
In this case, yes. If 2017 were replaced with 2027, the corresponding answer would be "no".


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