**Proposition**: Multiplication of Congruences with a Positive Factor

Let $a,b$ be integers and $c > 0, m > 0$ be positive integers. Then $$\begin{array}{c}a(m)\equiv b(m)\\

\Longleftrightarrow\\(ac)(mc)\equiv(bc)(mc).

\end{array}$$

| | | | | created: 2019-04-19 05:27:01 | modified: 2019-06-22 15:40:26 | by: *bookofproofs* | references: [1272], [8152]

## 1.**Proof**: *(related to "Multiplication of Congruences with a Positive Factor")*

(none)

[8152] **Jones G., Jones M.**: “Elementary Number Theory (Undergraduate Series)”, Springer, 1998

[1272] **Landau, Edmund**: “Vorlesungen über Zahlentheorie, Aus der Elementaren Zahlentheorie”, S. Hirzel, Leipzig, 1927

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