Divisibility Rule for 22
If you divide a number by 22 and you get a whole number as an answer (quotient), then that number is divisible by 22.
Instead of simply dividing your number by 22 to see if you get a whole number, you can use what we call the Divisibility Rule for 22.
The Divisibility Rule for 22 is used to determine if a number is divisible by 22. You can also call it the test of divisibility for 22.
To determine if a number is divisible by 22, it must be an even number AND if you alternate subtracting and adding the digits in the number, the result must be divisible by 11.
For example, 2,716,032 is divisible by 22 because it is an even number and 2 - 7 + 1 - 6 + 0 - 3 + 2 = -11. Since -11 is divisible by 11, then 2,716,032 is divisible by 22.
However, 2,716,034 is not divisible by 22 because although it is an even number, when we calculate this 2 - 7 + 1 - 6 + 0 - 3 + 4 = -9, we see that -9 is not divisible by 11, and thus 2,716,034 is not divisible by 22.
Remember, both conditions must be met for the number to be divisible by 22.