231 is divisible by _________________
231 is divisible by _________________
The correct options are
A Yes
C 3
A number is divisible by 11 if the difference between the sum of digits at its odd places and that of the digits at the even places is either 0 or divisible by 11
Here the sum of the digits in the odd place is 2 + 1 = 3
Digit in the even place = 3
Difference between these two sums = 3 -3 = 0
∴ the given digit is divisible by 11
The sum of the given digits is 2 + 3 + 1 = 6 which is divisible by 3. Hence the given digit is divisible by 3
Only even numbers are divisible by 2, ∴ the given digit is not divisible by 2.
A number to be divisible by 6, it has to be divisible by both 2 and 3.
∴ The given digit is not divisible by 6
All numbers ending with 0 are 5 are divisible by 5, ∴ 231 is not divisible by 5
Hence, 231 is divisible by 11 and 3
A Yes
C
3
A number is divisible by 11 if the difference between the sum of digits at its odd places and that of the digits at the even places is either 0 or divisible by 11
Here the sum of the digits in the odd place is 2 + 1 = 3
Digit in the even place = 3
Difference between these two sums = 3 -3 = 0
∴ the given digit is divisible by 11
The sum of the given digits is 2 + 3 + 1 = 6 which is divisible by 3. Hence the given digit is divisible by 3
Only even numbers are divisible by 2, ∴ the given digit is not divisible by 2.
A number to be divisible by 6, it has to be divisible by both 2 and 3.
∴ The given digit is not divisible by 6
All numbers ending with 0 are 5 are divisible by 5, ∴ 231 is not divisible by 5
Hence, 231 is divisible by 11 and 3
