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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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