Divisor of Integer/Examples/Divisors of 6

Examples of Divisors of Integer

The divisors of $6$ are $1$, $2$, $3$ and $6$.

Proof

See $\sigma_0$ of $6$:

$\map {\sigma_0} 6 = 4$

where $\sigma_0$ denotes the divisor count function.

Then we have:

\(\ds 6\)

\(=\)

\(\ds 1 \times 6\)

\(\ds \)

\(=\)

\(\ds 2 \times 3\)

which accounts for them all.

$\blacksquare$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): factor
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): factor: 1.