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  1. Split the number into its alternate digits.
  2. Sum the digits in each set
  3. If the difference between their sums is zero (0) or divisible by 11 then the original number is divisible by 11.

Examples

  • Is 1289324 divisible by 11?
Split into alternate digits: 1_8_3_4 and _2_9_2

Sum each set of digits:

1_8_3_4 -> 1+8+3+4 = 16

_2_9_2 -> 2+9+2 = 13

Difference between the sums: 16 - 13 = 3, not divisible by 11; so original number 1289324 is not divisible by 11.

  • Is 19407278 divisible by 11?
Split into alternate digits: 1_4_7_7 and _9_8_2_6

Sum each set of digits:

1_4_7_7 -> 1+4+7+7 = 19

_9_0_2_8 -> 9+0+2+8 = 19

Difference between the sums: 19 - 19 = 0; so original number 19407278 is divisible by 11.

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Q: What is the test for divisibility of 11?
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Related questions

How do you devise a divisibility test?

you can't


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


What is the divisibility rule for 22?

The divisibility rule for 22 is that the number is divisible by 2 and by 11. Divisibility by 2 requires that the number ends in 0, 2, 4, 6 or 8. Divisibility by 11 requires that the difference between the sum of the the digits in odd positions and the sum of all the digits in even positions is 0 or divisible by 11.


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.


Give the divisibility test in 2?

all even numbers


How can you test for the divisibility by 6?

If the number is also divisible by 2 and 3


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

Yes


Divisibility rule of 11?

if the difference of the sum at the alternate places is divisible by 11 then it is divisible by 11


What is the digit in the blank space 92 389 divisibility by 11?

928389 = 11 x 84399


Divisibility rules for 11?

The difference between the last digit and the rest of the number is a multiple of 11


What is the divisibility rule for 143?

The number must be divisible by 13 and by 11.