1. Check whether 21829 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`2182color{red}{9}=>2182 + color{red}{9} xx 25 = 2182 +225 = 2407`
`240color{red}{7}=>240 + color{red}{7} xx 25 = 240 +175 = 415`
`41color{red}{5}=>41 + color{red}{5} xx 25 = 41 +125 = 166`
`16color{red}{6}=>16 + color{red}{6} xx 25 = 16 +150 = 166`
Here 166 is divisible by 83.
`:.` 21829 is divisible by 83.
2. Check whether 25564 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`2556color{red}{4}=>2556 + color{red}{4} xx 25 = 2556 +100 = 2656`
`265color{red}{6}=>265 + color{red}{6} xx 25 = 265 +150 = 415`
`41color{red}{5}=>41 + color{red}{5} xx 25 = 41 +125 = 166`
`16color{red}{6}=>16 + color{red}{6} xx 25 = 16 +150 = 166`
Here 166 is divisible by 83.
`:.` 25564 is divisible by 83.
3. Check whether 30129 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`3012color{red}{9}=>3012 + color{red}{9} xx 25 = 3012 +225 = 3237`
`323color{red}{7}=>323 + color{red}{7} xx 25 = 323 +175 = 498`
`49color{red}{8}=>49 + color{red}{8} xx 25 = 49 +200 = 249`
`24color{red}{9}=>24 + color{red}{9} xx 25 = 24 +225 = 249`
Here 249 is divisible by 83.
`:.` 30129 is divisible by 83.
4. Check whether 24702 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`2470color{red}{2}=>2470 + color{red}{2} xx 25 = 2470 +50 = 2520`
`252color{red}{0}=>252 + color{red}{0} xx 25 = 252 = 252`
`25color{red}{2}=>25 + color{red}{2} xx 25 = 25 +50 = 75`
Here 75 is not divisible by 83.
`:.` 24702 is not divisible by 83.
5. Check whether 26138 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`2613color{red}{8}=>2613 + color{red}{8} xx 25 = 2613 +200 = 2813`
`281color{red}{3}=>281 + color{red}{3} xx 25 = 281 +75 = 356`
`35color{red}{6}=>35 + color{red}{6} xx 25 = 35 +150 = 185`
`18color{red}{5}=>18 + color{red}{5} xx 25 = 18 +125 = 143`
`14color{red}{3}=>14 + color{red}{3} xx 25 = 14 +75 = 89`
Here 89 is not divisible by 83.
`:.` 26138 is not divisible by 83.
6. Check whether 31552 is divisible by 83 or not?Solution:Divisibility rule of 83 :
25 times the last digit and add it to the rest of the number.
If the answer is divisible by 83, then number is also divisible by 83.
(Apply this rule to the answer again if necessary)
`3155color{red}{2}=>3155 + color{red}{2} xx 25 = 3155 +50 = 3205`
`320color{red}{5}=>320 + color{red}{5} xx 25 = 320 +125 = 445`
`44color{red}{5}=>44 + color{red}{5} xx 25 = 44 +125 = 169`
`16color{red}{9}=>16 + color{red}{9} xx 25 = 16 +225 = 241`
Here 241 is not divisible by 83.
`:.` 31552 is not divisible by 83.
This material is intended as a summary. Use your textbook for detail explanation.
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