**Problem 1 – Divisibility rule for 11**

Check whether 32857 is divisible by 11 ?

**a) Yes**

b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 32857

Sum of the digits at even places:

5 + 2 = 7

Sum of the digits at odd places:

7 + 8 + 3 = 18

Difference between sum of digits at even and odd places = 18 – 7 = 11 ( Which is divisible by 11 )

Therefore, 32857 is also divisible by 11

**Problem 2 – Divisibility rule for 11**

Check whether 64820 is divisible by 11 ?

a) Yes

**b) No**

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 64820

Sum of the digits at even places:

2 + 4 = 6

Sum of the digits at odd places:

0 + 8 + 6 = 14

Difference between sum of digits at even and odd places = 14 – 6 = 8 ( Which is not divisible by 11 )

Therefore, 64820 is not divisible by 11

**Problem 3 – Divisibility rule for 11**

Check whether 54227 is divisible by 11 ?

a) Yes

**b) No**

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 54227

Sum of the digits at even places:

2 + 4 = 6

Sum of the digits at odd places:

7 + 2 + 5 = 14

Difference between sum of digits at even and odd places = 14 – 6 = 8 ( Which is not divisible by 11 )

Therefore, 54227 is not divisible by 11

**Problem 4 – Divisibility rule for 11**

Check whether 68415 is divisible by 11 ?

a) Yes

**b) No**

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 68415

Sum of the digits at even places:

1 + 8 = 9

Sum of the digits at odd places:

5 + 4 + 6 = 15

Difference between sum of digits at even and odd places = 15 – 9 = 6 ( Which is not divisible by 11 )

Therefore, 68415 is not divisible by 11

**Problem 5 – Divisibility rule for 11**

Check whether 91426 is divisible by 11 ?

a) Yes

**b) No**

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 91426

Sum of the digits at even places:

2 + 1 = 3

Sum of the digits at odd places:

6 + 4 + 9 = 19

Difference between sum of digits at even and odd places = 19 – 3 = 16 ( Which is not divisible by 11 )

Therefore, 91426 is not divisible by 11

**Learn More…**

Divisibility test of 2

Divisibility test of 3

Divisibility test of 4

Divisibility test of 5

Divisibility test of 6

Divisibility test of 8

Divisibility test of 9

Divisibility test of 10

Examples of Even numbers

Examples of Odd Numbers

Prime Numbers and Composite Numbers

Twin Prime Numbers

Co-prime Number

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