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May 23rd, 2019, 09:05 PM   #1
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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
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May 24th, 2019, 03:09 AM   #2
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The number 111..... (consisting of 2016 "1"s) is a multiple of 2017.
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May 25th, 2019, 09:07 PM   #3
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Quote:
Originally Posted by skipjack View Post
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.
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May 26th, 2019, 09:29 AM   #4
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In this case, yes. If 2017 were replaced with 2027, the corresponding answer would be "no".
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