If you take any 3 digit number (ex. 123) and rewrite it as a 6 digit number by repeating the same 3 digit number (123123), you can divide by 13 then 11 then 7 and get the original 3 digit number. Write a proof for this this (might need to be a proof by contradiction)

If you take any 3 digit number (ex. 123) and rewrite it as a 6 digit number by repeating the same 3 digit number (123123), you can divide by 13 then 11 then 7 and get the original 3 digit number. Write a proof for this this (might need to be a proof by contradiction)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

If you take any 3 digit number (ex. 123) and rewrite it as a 6 digit number by repeating the same 3 digit number (123123), you can divide by 13 then 11 then 7 and get the original 3 digit number.

Write a proof for this this (might need to be a proof by contradiction)

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