Skill: Use divisibility rules for 2, 5, and 10

A number is divisible by another number if it can be divided with no remainder. You can use the ones digit to check divisibility by $2$, $5$, and $(10)$.

• A number is divisible by $2$ if its ones digit is $(0, 2, 4, 6,)$ or $8$.
• A number is divisible by $5$ if its ones digit is $0$ or $5$.
• A number is divisible by $(10)$ if its ones digit is $0$.

Example: Is $(450)$ divisible by $2$, $5$, and $(10)$?

1. Look at the ones digit. The ones digit in $(450)$ is $0$.
2. Since $0$ is one of $(0, 2, 4, 6,)$ or $8$, $(450)$ is divisible by $2$.
3. Since the ones digit is $0$ or $5$, $(450)$ is divisible by $5$.
4. Since the ones digit is $0$, $(450)$ is divisible by $(10)$.

So, $(450)$ is divisible by $2$, $5$, and $(10)$. Indeed,

$$450 \div 2=225,\qquad 450\div 5=90,\qquad 450\div 10=45.$$