1. Check whether 8908 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 8908 is 8, which is divisible by 2.
`:.` 8908 is divisible by 2.
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)
`890color{red}{8}=>890 - color{red}{8} xx 5 = 890 -40 = 850`
`85color{red}{0}=>85 - color{red}{0} xx 5 = 85 = 85`
Here 85 is divisible by 17.
`:.` 8908 is divisible by 17.
8908 is divisible by 2 and 17.
`:.` 8908 is divisible by 34.
2. Check whether 10200 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 10200 is 0, which is divisible by 2.
`:.` 10200 is divisible by 2.
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)
`1020color{red}{0}=>1020 - color{red}{0} xx 5 = 1020 = 1020`
`102color{red}{0}=>102 - color{red}{0} xx 5 = 102 = 102`
`10color{red}{2}=>10 - color{red}{2} xx 5 = 10 -10 = 0`
Here 0 is divisible by 17.
`:.` 10200 is divisible by 17.
10200 is divisible by 2 and 17.
`:.` 10200 is divisible by 34.
3. Check whether 12308 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 12308 is 8, which is divisible by 2.
`:.` 12308 is divisible by 2.
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)
`1230color{red}{8}=>1230 - color{red}{8} xx 5 = 1230 -40 = 1190`
`119color{red}{0}=>119 - color{red}{0} xx 5 = 119 = 119`
`11color{red}{9}=>11 - color{red}{9} xx 5 = 11 -45 = -34`
Here -34 is divisible by 17.
`:.` 12308 is divisible by 17.
12308 is divisible by 2 and 17.
`:.` 12308 is divisible by 34.
4. Check whether 9963 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 9963 is 3, which is not divisible by 2.
`:.` 9963 is not divisible by 2.
Hence 9963 is also not divisible by 34.
5. Check whether 11644 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 11644 is 4, which is divisible by 2.
`:.` 11644 is divisible by 2.
Divisibility rule of 17 :
5 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 17, then number is also divisible by 17.
(Apply this rule to the answer again if necessary)
`1164color{red}{4}=>1164 - color{red}{4} xx 5 = 1164 -20 = 1144`
`114color{red}{4}=>114 - color{red}{4} xx 5 = 114 -20 = 94`
Here 94 is not divisible by 17.
`:.` 11644 is not divisible by 17.
Hence 11644 is also not divisible by 34.
6. Check whether 13511 is divisible by 34 or not?Solution:Divisibility rule of 34 :
If number is divisible by 2 and 17, then number is also divisible by 34.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 13511 is 1, which is not divisible by 2.
`:.` 13511 is not divisible by 2.
Hence 13511 is also not divisible by 34.
This material is intended as a summary. Use your textbook for detail explanation.
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