Divisibility Rules Review

Vocabulary flashcards covering the mathematical rules for divisibility from 2 to 12 based on the lecture notes.

Divisibility rules

Help determine if one number is divisible by another without performing full division.

Divisibility by $2$

The last digit of the number is an even number or $0$.

Divisibility by $3$

The sum of all the digits in the number can be divided by $3$.

Divisibility by $4$

The number formed by its last two digits can be divided by $4$, or the number ends in two zeros.

Divisibility by $5$

The last digit of the number is either $0$ or $5$.

Divisibility by $6$

The number is divisible by both $2$ and $3$.

Divisibility by $8$

The number formed from its last $3$ digits can be divided by $8$.

Divisibility by $9$

The sum of all the digits in the number can be divided by $9$.

Divisibility by $10$

The last digit of the number is $0$. TIP: If the number is divisible by $2$ or $5$, it is divisible by $10$.

Divisibility by $11$

The difference of the sums of all the digits in the odd and even positions can be divided by $11$ or is $0$.

Divisibility by $12$

The number is divisible by both $4$ and $3$.