Divisibility Rules (5, 6, 8, 9, 10)

An integer is divisible by $5$ if the last digit in the number is a $5$ or a $0$.
An integer is divisible by $6$ if it is also divisible by $2$ and $3$.
- Another way to think about this is all even numbers that are divisible by $3$ are also divisible by $6$.
An integer is divisible by $8$ if the last three digits of the number are divisible by $8$.
- Note that if the number ends in $000$, it is divisible by $8$.
An integer is divisible by $9$ if the sum of the digits of the number is divisible by $9$.
- For example, $5$,$985$ is divisible by $9$ because the sum of the digits is $27$, a multiple of $9$.
An integer is divisible by $10$ if the last digit in the number is $0$.