1. Check whether 17284 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 17284 is 4, which is divisible by 2.
`:.` 17284 is divisible by 2.
Divisibility rule of 29 :
3 times the last digit and add it to the rest of the number.
If the answer is divisible by 29, then number is also divisible by 29.
(Apply this rule to the answer again if necessary)
`1728color{red}{4}=>1728 + color{red}{4} xx 3 = 1728 +12 = 1740`
`174color{red}{0}=>174 + color{red}{0} xx 3 = 174 = 174`
`17color{red}{4}=>17 + color{red}{4} xx 3 = 17 +12 = 29`
Here 29 is divisible by 29.
`:.` 17284 is divisible by 29.
17284 is divisible by 2 and 29.
`:.` 17284 is divisible by 58.
2. Check whether 17400 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 17400 is 0, which is divisible by 2.
`:.` 17400 is divisible by 2.
Divisibility rule of 29 :
3 times the last digit and add it to the rest of the number.
If the answer is divisible by 29, then number is also divisible by 29.
(Apply this rule to the answer again if necessary)
`1740color{red}{0}=>1740 + color{red}{0} xx 3 = 1740 = 1740`
`174color{red}{0}=>174 + color{red}{0} xx 3 = 174 = 174`
`17color{red}{4}=>17 + color{red}{4} xx 3 = 17 +12 = 29`
Here 29 is divisible by 29.
`:.` 17400 is divisible by 29.
17400 is divisible by 2 and 29.
`:.` 17400 is divisible by 58.
3. Check whether 22736 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 22736 is 6, which is divisible by 2.
`:.` 22736 is divisible by 2.
Divisibility rule of 29 :
3 times the last digit and add it to the rest of the number.
If the answer is divisible by 29, then number is also divisible by 29.
(Apply this rule to the answer again if necessary)
`2273color{red}{6}=>2273 + color{red}{6} xx 3 = 2273 +18 = 2291`
`229color{red}{1}=>229 + color{red}{1} xx 3 = 229 +3 = 232`
`23color{red}{2}=>23 + color{red}{2} xx 3 = 23 +6 = 29`
Here 29 is divisible by 29.
`:.` 22736 is divisible by 29.
22736 is divisible by 2 and 29.
`:.` 22736 is divisible by 58.
4. Check whether 14857 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 14857 is 7, which is not divisible by 2.
`:.` 14857 is not divisible by 2.
Hence 14857 is also not divisible by 58.
5. Check whether 19681 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 19681 is 1, which is not divisible by 2.
`:.` 19681 is not divisible by 2.
Hence 19681 is also not divisible by 58.
6. Check whether 20393 is divisible by 58 or not?Solution:Divisibility rule of 58 :
If number is divisible by 2 and 29, then number is also divisible by 58.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 20393 is 3, which is not divisible by 2.
`:.` 20393 is not divisible by 2.
Hence 20393 is also not divisible by 58.
This material is intended as a summary. Use your textbook for detail explanation.
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