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There is a number formed by n copies of 2020 and 1 in the unit place. If this number is divisible by 17, what is the smallest possible value of n

 Dec 14, 2021
 #1
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n ==4

 

2,021,202,120,212,021 mod 17 ==0

 Dec 14, 2021
 #2
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That is not the right answer.

 

I used the euclidean algorithm to solve this :

https://www.youtube.com/watch?v=fz1vxq5ts5I

 

But the answer is only a little so you could start at 1 then work up until you find the answer.

 Dec 14, 2021
edited by Melody  Dec 14, 2021

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