what is the divisbility of 11?
Answers
Answer:
Divisibility rule for 11:
If in any number the sum of the numbers in the even positions = sum of the odd numbers in the odd positions, then the number is divisible by 11. Alternatively, the difference of the sum of the numbers in even positions and the sum of the numbers in the odd positions = 11.
Example 1: 9317. Here 9+1 = 10 , same as 3+7. Hence 9317 is divisible by 11.
Example 2: 163713. Here 1+3+1 = 5 and 6+7+3 = 16. The difference between the two = 16–5 = 11, so 163713 is divisible by 11.
Step-by-step explanation:
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. ... So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.