# Abstract Algebra modular Arithmatic Proof

## Homework Statement

Prove 10n18 10 for all n ϵ N

## Homework Equations

I have no idea where to even begin this proof.

## The Attempt at a Solution

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What is the definition of $$a\equiv_n b$$ ?

it is said to be congruent integer modulo if n|a-b

So apply this definition to your problem. What are you trying to show? I.e., you are trying to show ____ is divisible by ____?

What would have to be true for a number to be divisible by ____?