Divisor of Integer/Examples/2 does not divide 5

Example of Non-Divisor of Integer

$2 \nmid 5$

where $\nmid$ denotes non-divisibility.

Proof

$5 = 2 \times 2 + 1$

As the remainder is not $0$, the result follows.

$\blacksquare$

Sources

• 1966: Richard A. Dean: Elements of Abstract Algebra ... (previous) ... (next): $\S 0.1$. Arithmetic