1. Check whether 7696 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 7696 is 6, which is divisible by 2.
`:.` 7696 is divisible by 2.
Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)
`769color{red}{6}=>769 + color{red}{6} xx 4 = 769 +24 = 793`
`79color{red}{3}=>79 + color{red}{3} xx 4 = 79 +12 = 91`
Here 91 is divisible by 13.
`:.` 7696 is divisible by 13.
7696 is divisible by 2 and 13.
`:.` 7696 is divisible by 26.
2. Check whether 8710 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 8710 is 0, which is divisible by 2.
`:.` 8710 is divisible by 2.
Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)
`871color{red}{0}=>871 + color{red}{0} xx 4 = 871 = 871`
`87color{red}{1}=>87 + color{red}{1} xx 4 = 87 +4 = 91`
Here 91 is divisible by 13.
`:.` 8710 is divisible by 13.
8710 is divisible by 2 and 13.
`:.` 8710 is divisible by 26.
3. Check whether 9854 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 9854 is 4, which is divisible by 2.
`:.` 9854 is divisible by 2.
Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)
`985color{red}{4}=>985 + color{red}{4} xx 4 = 985 +16 = 1001`
`100color{red}{1}=>100 + color{red}{1} xx 4 = 100 +4 = 104`
`10color{red}{4}=>10 + color{red}{4} xx 4 = 10 +16 = 26`
Here 26 is divisible by 13.
`:.` 9854 is divisible by 13.
9854 is divisible by 2 and 13.
`:.` 9854 is divisible by 26.
4. Check whether 7065 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 7065 is 5, which is not divisible by 2.
`:.` 7065 is not divisible by 2.
Hence 7065 is also not divisible by 26.
5. Check whether 8179 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 8179 is 9, which is not divisible by 2.
`:.` 8179 is not divisible by 2.
Hence 8179 is also not divisible by 26.
6. Check whether 9366 is divisible by 26 or not?Solution:Divisibility rule of 26 :
If number is divisible by 2 and 13, then number is also divisible by 26.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 9366 is 6, which is divisible by 2.
`:.` 9366 is divisible by 2.
Divisibility rule of 13 :
4 times the last digit and add it to the rest of the number.
If the answer is divisible by 13, then number is also divisible by 13.
(Apply this rule to the answer again if necessary)
`936color{red}{6}=>936 + color{red}{6} xx 4 = 936 +24 = 960`
`96color{red}{0}=>96 + color{red}{0} xx 4 = 96 = 96`
Here 96 is not divisible by 13.
`:.` 9366 is not divisible by 13.
Hence 9366 is also not divisible by 26.
This material is intended as a summary. Use your textbook for detail explanation.
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