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What is the Test for divisibility by 9?

Updated: 4/28/2022
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If you add the digits in any given number and they add up to 9, then that number is divisible by nine. Example: 72 = 7 + 2 = 9, therefore its divisible by 9 Example: 2034 = 2 + 0 + 3 + 4 = 9, therefore it's divisible by nine as well. Example: 111123 = 1+1+1+1+2+3 = 9, therefore it is divisible by 9, too.

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Q: What is the Test for divisibility by 9?
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Related questions

Can you test the multiples of 9 using the divisibility trick for 9?

Yes


Is 5890 divisible by 2 3 6 9 5 10?

Test of divisibility by 2:If a number is even then the number can be evenly divided by 2.5890 is an even number so, it is divisible by 2.Test of divisibility by 3:A number is divisible by 3 if the sum of digits of the number is a multiple of 3.Sum of digits = 5+8+9+0 = 22, which is not a multiple of 3.So, 5890 is not divisible by 3.Test of divisibility by 6:In order to check if a number is divisible by 6, we have to check if it is divisible by both 2 and 3 because 6 = 2x3.As we have seen above that 5890 is not divisible by 3 so, 5890 fails to pass the divisibility test by 6.Test of divisibility by 9:If the sum of digits of a number is divisible by 9 then the number is divisible by 9.Sum of digits = 5+8+9+0 = 22, which is not a multiple of 9.So, 5890 is not divisible by 9.Test of divisibility by 5:If the last digit of a number is 0 or 5, then it is divisible by 5.It is clear that 5890 is divisible by 5.Test of divisibility by 10:If the last digit of a number is 0, then the number is divisible by 10.It is clear that 5890 is divisible by 10 as the last digit is 0.


Divisibility of 7623?

7623 is divisible by 3.Test of divisibility by 3:Sum of digits of 7623 = 7+6+2+3 = 18, which is a multiple of 3, so the number is divisible by 3.If sum of the digits of a number is a multiple of 9 then it is divisible by 9.So, 7623 is also divisible by 9.Therefore, test of divisibility can help a lot in determining whether a number is divisible by any other number.


How do you devise a divisibility test?

you can't


What is the divisibility test for 15?

It is divisibility by 3 and divisibility by 5.Divisibility by 3: the digital root of an integer is obtained by adding together all the digits in the integer, with the process repeated if required. If the final result is 3, 6 or 9, then the integer is divisible by 3.Divisibility by 5: the integer ends in 0 or 5.


What divisibility rules were combined to make the divisibility rule of 36?

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


What are the 20 divisibility test?

To test divisibility for 20, you need to use the tests for divisibility by 4 and 5.The test for divisibility by 4 is that the last 2 digits of the number, given as a 2-digit number, are divisible by 4.Example for 4:We are testing the number 11042.42/4 = 10.5 which is not a whole number. Therefore 11042 is not divisible by 4.The test for divisibility by 5 is that the last digit of the number is either 5 or 0.


Who invented divisibility test of numbers?

Edward Chavez


Divisibility by 9?

If the digit sum of a number is 9 then it is divisible by 9


Is 45600 divisibility by 8 or 9?

8, yes. 9, no.


What is 8487 divisibility rule?

The number must be divisible by 9, 23 and 41, so all three of the following conditions must be met.Divisibility by 9 requires you to check the sum of the digits is divisible by 9.Divisibility by 23 requires you to add 7 times the last digit to the rest. The answer must be divisible by 23 directly.For divisibility by 41, subtract 4 times the last digit from the rest. The answer must be divisible by 23 directly.In each case, the additions or subtractions can be repeated so as to make the answer easier to test for divisibility.


Which number has no test for divisibility?

Every number has a test for divisibility. The issue is that the tests get more complicated as the divisor increases. For primes up to 50, see either of the attached links.