A divisibility rule is a shorthand method to determine whether a given number is divisible by a fixed divisor without performing the division operation. The divisibility rule for 17 is explained over here from which you can learn how to multiply and divide easily.
Multiply the last digit of the given number by 5.
Subtract it from the remaining leading number.
If the resultant number is divisible by 17, then the original number is also divisible by 17.
The process can be repeated for any number of times until the number is divisible by 17.
Find if the number 2278 is divisible by 17
Applying the divisibility rule for 17,
The last digit of the number 2278 is 8
Multiply it to the number 5
(i.e) 8 x 5 = 40
Subtract the resultant number from the other digits of the leading number
227 - 40 = 187
Now, it is clear that 187 is divisible by 17 (i.e) 11 x 17 = 187
Since 187 is divisible by 17, the original number 2278 is also divisible by 17.Note :
If you cannot find if the resultant number is divisible by 17, you can proceed with the same steps for the resultant number also.