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Mathematics

Which of the following number(s) are divisible by 11 :

  1. 2563

  2. 8307

  3. 95635

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Answer

According to the divisibility of 11, if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or divisible by 11 then the number is divisible by 11.

  1. 2563 — the sum of its digits in odd places = 2 + 6 = 8
    the sum of its digits in even places = 5 + 3 = 8
    The difference = 8 - 8 = 0.

  2. 8307 — the sum of its digits in odd places = 8 + 0 = 8
    the sum of its digits in even places = 3 + 7 = 10
    The difference = 10 - 8 = 2 (Not divisible by 11)

  3. 95635 — the sum of its digits in odd places = 9 + 6 + 5 = 20
    the sum of its digits in even places = 5 + 3 = 8
    The difference = 20 - 8 = 12 (Not divisible by 11)

Hence, 2563 is divisible by 11.

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