Category:Examples of Congruence by Factors of Modulo

This category contains examples of use of Congruence by Factors of Modulo.

Let $a, b \in \Z$.

Let $r$ and $s$ be coprime integers.

Then:

$a \equiv b \pmod {r s}$ if and only if $a \equiv b \pmod r$ and $a \equiv b \pmod s$

where $a \equiv b \pmod r$ denotes that $a$ is congruent modulo $r$ to $b$.