Q: Why does divisibility rule for 9 work?

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The divisibility rules of 4 and 9 are combined to make the divisibility rule of 36.

It is 3 6 9

Yes. It is the divisibility rule for 9.

the divisibility rule for 2 is: The number is even;the last digit ends with a 2,4,6,8,10, etc.The divisibility rule fir 3 is: The sum of the number is divisible by 3The divisibility rule for 4 is: The last two digits are divisible by 4The divisibility rule for 5 is: The number ends with a 5 or 0The divisibility rule for 6 is: The sum CAN be divisible by 2 and or 3The divisibility rule for 9 is: The sum of the number is divisible by 9The divisibility rule for 10 is : The number ends with a 0

Its digital sum is 9 so it is divisible by 9

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By tautology. If it did not work, it would not be a divisibility rule!

why does the divisibility rule work for 4

The divisibility rules of 4 and 9 are combined to make the divisibility rule of 36.

it is divisible by 3 and 9

It is 3 6 9

Yes. It is the divisibility rule for 9.

the divisibility rule for 2 is: The number is even;the last digit ends with a 2,4,6,8,10, etc.The divisibility rule fir 3 is: The sum of the number is divisible by 3The divisibility rule for 4 is: The last two digits are divisible by 4The divisibility rule for 5 is: The number ends with a 5 or 0The divisibility rule for 6 is: The sum CAN be divisible by 2 and or 3The divisibility rule for 9 is: The sum of the number is divisible by 9The divisibility rule for 10 is : The number ends with a 0

Its digital sum is 9 so it is divisible by 9

If the digit sum of a number adds up to 9 then it is divisible by 9.

It is even and the sum of its digits is divisible by 9.

There is no easy rule for divisibility by 34.

9 because the digits of 36 add up to 9