Explain divisibility test by 11
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Divisibility test by 11.
Let us consider a number 13856722.
13856722.
1, 8, 6, 2, are E (even)
3, 5, 7, 2are O (odd)
sum of the digits at odd places = 3 + 5 + 7 + 2 = 17
sum of the digits at even places = 1 + 8 + 6 + 2= 17
Difference - 17-17 = 0
Yes, 13856722 is divisible by 11.
Detailed Explaination
For divisibility test of 11 you have to follow these steps-
- Add alternate digits ( digits in odd places and digits in even places separately) starting from the once place
- Do sum of odd and even places seperately.
- Find out difference of the answers if minusing them difference comes zero or any multiple of 11, then it is said that the given number is divisible by 11.
O represents odd
E represents even
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