Divisibility Rule of 11
Divisibility Rule of 11
In Divisibility Rule of 11, we have two methods :
Method 1: The Divisibility Rule of 11 is that you must subtract and then add the digits in an alternating pattern from left to right. If your answer is 0 or 11 then it is divisible by 11.
Illustration 1: Determine 31823 is evenly divisible by 11 ?
step 1: 3 – 2 + 8 – 1 + 3 = 11.
step 2: so, 31823 is divisible by 11 .
Illustration 2: Determine 9123 is evenly divisible by 11 or not ?
step 1: 3 – 2 + 1 – 9 = -7.
step 2: Since -7 is not divisible by 11, 9123 is not evenly divisible by 11.
Illustration 3: Determine 9876543210 is evenly divisible by 11 or not ?
step 1: 0 – 1 + 2 – 3 + 4 – 5 + 6 – 7 + 8 – 9 = -5
step 2: -5 is not evenly divisible by 11, 9876543210 is not evenly divisible by 11.
Method 2 : Find the difference between the sum of the digits at odd places(from the right) and the sum of the digits at even places(from the right) of the number.
If the difference is either 0 or divisible by 11, then the number is divisible by 11.
Illustration 1: Determine 31823 is evenly divisible by 11 ?
Step 1: sum of the digits at odd places(from the right) : 3+8+3=14
Step 2: sum of the digits at even places(from the right) : 2+1=3
Step 3: 14 - 3 = 11
The number 11 is divisible by 11 so, 31823 is also divisible by 11
What least value should be given to * so that the number 234*65 is divisible by 11? | |||
| Right Option : D | |||
| View Explanation |
Find the value of a + b + c, if 373a is divisible by 9, 473b is divisible by 11 and 373c is divisible by 6. | |||
| Right Option : A | |||
| View Explanation | |||
Which number is divisible by 5 and 11? | |||
| Right Option : B | |||
| View Explanation | |||
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