Divisor of Integer/Examples/3 does not divide 10

Example of Non-Divisor of Integer

$3 \nmid 10$

where $\nmid$ denotes non-divisibility.

Proof

$4 = 3 \times 3 + 1$

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

$\blacksquare$

Sources

• 1980: David M. Burton: Elementary Number Theory (revised ed.) ... (previous) ... (next): Chapter $2$: Divisibility Theory in the Integers: $2.2$ The Greatest Common Divisor