1. Check whether 8890 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 8890 is 0, which is divisible by 5.
`:.` 8890 is divisible by 5.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`889color{red}{0}=>889 - color{red}{0} xx 2 = 889 = 889`
`88color{red}{9}=>88 - color{red}{9} xx 2 = 88 -18 = 70`
Here 70 is divisible by 7.
`:.` 8890 is divisible by 7.
8890 is divisible by 5 and 7.
`:.` 8890 is divisible by 35.
2. Check whether 10535 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 10535 is 5, which is divisible by 5.
`:.` 10535 is divisible by 5.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`1053color{red}{5}=>1053 - color{red}{5} xx 2 = 1053 -10 = 1043`
`104color{red}{3}=>104 - color{red}{3} xx 2 = 104 -6 = 98`
Here 98 is divisible by 7.
`:.` 10535 is divisible by 7.
10535 is divisible by 5 and 7.
`:.` 10535 is divisible by 35.
3. Check whether 13335 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 13335 is 5, which is divisible by 5.
`:.` 13335 is divisible by 5.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`1333color{red}{5}=>1333 - color{red}{5} xx 2 = 1333 -10 = 1323`
`132color{red}{3}=>132 - color{red}{3} xx 2 = 132 -6 = 126`
`12color{red}{6}=>12 - color{red}{6} xx 2 = 12 -12 = 0`
Here 0 is divisible by 7.
`:.` 13335 is divisible by 7.
13335 is divisible by 5 and 7.
`:.` 13335 is divisible by 35.
4. Check whether 9626 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 9626 is 6, which is not divisible by 5.
`:.` 9626 is not divisible by 5.
Hence 9626 is also not divisible by 35.
5. Check whether 11170 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 11170 is 0, which is divisible by 5.
`:.` 11170 is divisible by 5.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`1117color{red}{0}=>1117 - color{red}{0} xx 2 = 1117 = 1117`
`111color{red}{7}=>111 - color{red}{7} xx 2 = 111 -14 = 97`
Here 97 is not divisible by 7.
`:.` 11170 is not divisible by 7.
Hence 11170 is also not divisible by 35.
6. Check whether 13417 is divisible by 35 or not?Solution:Divisibility rule of 35 :
If number is divisible by 5 and 7, then number is also divisible by 35.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 13417 is 7, which is not divisible by 5.
`:.` 13417 is not divisible by 5.
Hence 13417 is also not divisible by 35.
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
