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What is the divisibility rule of …

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What is the divisibility rule of 11

Posted by Mohammad Saad Ul Haq Rayees 8 years, 3 months ago

CBSE > Class 06 > Maths (OLD)

2 answers

Shubrtam Thakur 8 years, 3 months ago

It is easy to tell that the following are multiples of 11: 22, 33, 44, 55, etc. But how about: 2728, or 31415? Are they divisible by 11? Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2-7+2-8 = -11. Since -11 is divisible by 11, so is 2728. Similarly, for 31415, the alternating sum of digits is 3-1+4-1+5 = 10. This is not divisible by 11, so neither is 31415.

Nandini Agrawal 8 years, 3 months ago

Step : 1 Check all odd places and even places Step : 2 Add all even places then add all odd places Step : 3 Check if their difference is 0 or multiples of 11 then the number is divisible by 11

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