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Divisibility Rule for 6




If you divide a number by 6 and you get a whole number as an answer (quotient), then that number is divisible by 6.

Instead of simply dividing your number by 6 to see if you get a whole number, you can use what we call the Divisibility Rule for 6.

The Divisibility Rule for 6 is used to determine if a number is divisible by 6. You can also call it the test of divisibility for 6.


A number is divisible by 6 if it is an even number AND the sum of its digits is divisible by 3.

For example, 321,606 is divisible by 6 because it is an even number and 3 + 2 + 1 + 6 + 0 + 6 = 18 and 18 is divisible by 3.

However, 321,608 is not divisible by 6 because 3 + 2 + 1 + 6 + 0 + 8 = 20 and 20 is not divisible by 3.

So even though it is an even number, it is not divisible by 6 because the sum of its digits is not divisible by 3.

Remember, both conditions must be met for the number to be divisible by 6.




Divisibility Rule for 7
Here is the next Divisibility Rule on our list.

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





 


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