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 May 23rd, 2019, 09:05 PM #1 Member   Joined: Aug 2018 From: România Posts: 58 Thanks: 4 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: 20,747 Thanks: 2133 The number 111..... (consisting of 2016 "1"s) is a multiple of 2017. Thanks from Integrator
May 25th, 2019, 09:07 PM   #3
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Joined: Aug 2018
From: România

Posts: 58
Thanks: 4

Quote:
 Originally Posted by skipjack The number 111..... (consisting of 2016 "1"s) is a multiple of 2017.
Good morning,

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: 20,747 Thanks: 2133 In this case, yes. If 2017 were replaced with 2027, the corresponding answer would be "no".

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