Problem

Given a number consisting of 2016 digits 1. Prove that it is divisible by 101.

Answer Submission Is Not Available

Form is valid through March 2017

Solution

Dear visitors and friends of the site,

thank you for your solutions.

The first to send a correct one was Jacob. Well done!

Here is my solution and welcome to the April's problem!

Serge Hazanov

 

Solution

The initial number can be presented as 1111*102012 + 1111*102008 +…+1111*104+1111*1.

As 1111 is a multiple of 101, the above is also a multiple of 101.