Divisibility Rule for 16

If you divide a number by 16 and you get a whole number as an answer (quotient), then that number is divisible by 16.

Instead of simply dividing your number by 16 to see if you get a whole number, you can use what we call the Divisibility Rule for 16.

The Divisibility Rule for 16 is used to determine if a number is divisible by 16. You can also call it the test of divisibility for 16.

A number is divisible by 16 if the thousands digit is even and the last three digits form a number that is divisible by 16. A number is also divisible by 16 if the thousands digit is odd and the number formed by the last three digits plus 8 is divisible by 16.

For example, in 654,320, the thousands digit (4) is even and the last three digits form 320 which is divisible by 16. Thus, 654,320 is divisible by 16.

Now let us take, 123,457. In this case, the thousands digit (3) is odd, so then we take the last 2 digits and add 8: 57 + 8 = 65. 65 is not divisible by 16, thus 123,457 is not divisible by 16.

Divisibility Rule for 17
Here is the next Divisibility Rule on our list.

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