Divisibility Rule for 8

If you divide a number by 8 and you get a whole number as an answer (quotient), then that number is divisible by 8.

Instead of simply dividing your number by 8 to see if you get a whole number, you can use what we call the Divisibility Rule for 8.

The Divisibility Rule for 8 is used to determine if a number is divisible by 8. You can also call it the test of divisibility for 8.

A number is divisible by 8 if the hundreds digit is even and the last two digits form a number that is divisible by 8.

A number is also divisible by 8 if the hundreds digit is odd and the number formed by the last two digits plus 4 is divisible by 8.

For example, in 123,456, the hundreds digit (4) is even and the last two digits form 56 which is divisible by 8. Thus, 123,456 is divisible by 8.

Now let us take, 654,321. In this case, the hundreds digit (3) is odd, so then we take the last 2 digits and add 4: 21 + 4 = 25. 25 is not divisible by 8, thus 654,321 is not divisible by 8.

Divisibility Rule for 9
Here is the next Divisibility Rule on our list.

Divisibility Rules
Here is a list of all our Divisibility Rules.