1. Check whether 16520 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`1652color{red}{0}=>1652 + color{red}{0} xx 6 = 1652 = 1652`
`165color{red}{2}=>165 + color{red}{2} xx 6 = 165 +12 = 177`
`17color{red}{7}=>17 + color{red}{7} xx 6 = 17 +42 = 59`
Here 59 is divisible by 59.
`:.` 16520 is divisible by 59.
2. Check whether 18113 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`1811color{red}{3}=>1811 + color{red}{3} xx 6 = 1811 +18 = 1829`
`182color{red}{9}=>182 + color{red}{9} xx 6 = 182 +54 = 236`
`23color{red}{6}=>23 + color{red}{6} xx 6 = 23 +36 = 59`
Here 59 is divisible by 59.
`:.` 18113 is divisible by 59.
3. Check whether 23541 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`2354color{red}{1}=>2354 + color{red}{1} xx 6 = 2354 +6 = 2360`
`236color{red}{0}=>236 + color{red}{0} xx 6 = 236 = 236`
`23color{red}{6}=>23 + color{red}{6} xx 6 = 23 +36 = 59`
Here 59 is divisible by 59.
`:.` 23541 is divisible by 59.
4. Check whether 16140 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`1614color{red}{0}=>1614 + color{red}{0} xx 6 = 1614 = 1614`
`161color{red}{4}=>161 + color{red}{4} xx 6 = 161 +24 = 185`
`18color{red}{5}=>18 + color{red}{5} xx 6 = 18 +30 = 48`
Here 48 is not divisible by 59.
`:.` 16140 is not divisible by 59.
5. Check whether 18764 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`1876color{red}{4}=>1876 + color{red}{4} xx 6 = 1876 +24 = 1900`
`190color{red}{0}=>190 + color{red}{0} xx 6 = 190 = 190`
`19color{red}{0}=>19 + color{red}{0} xx 6 = 19 = 19`
Here 19 is not divisible by 59.
`:.` 18764 is not divisible by 59.
6. Check whether 23532 is divisible by 59 or not?Solution:Divisibility rule of 59 :
6 times the last digit and add it to the rest of the number.
If the answer is divisible by 59, then number is also divisible by 59.
(Apply this rule to the answer again if necessary)
`2353color{red}{2}=>2353 + color{red}{2} xx 6 = 2353 +12 = 2365`
`236color{red}{5}=>236 + color{red}{5} xx 6 = 236 +30 = 266`
`26color{red}{6}=>26 + color{red}{6} xx 6 = 26 +36 = 62`
Here 62 is not divisible by 59.
`:.` 23532 is not divisible by 59.
This material is intended as a summary. Use your textbook for detail explanation.
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