Congruence Modulo Integer/Examples/8 equiv 2 mod 2

Example of Congruence Modulo an Integer

 * $8 \equiv 2 \pmod 2$

Proof
By definition of congruence:
 * $x \equiv y \pmod n$ $x - y = k n$

for some $k \in \Z$.

We have:
 * $8 - 2 = 6 = 3 \times 2$

Thus:
 * $8 \equiv 2 \pmod 2$