1. Check whether 11972 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1197color{red}{2}=>1197 - color{red}{2} xx 4 = 1197 -8 = 1189`
`118color{red}{9}=>118 - color{red}{9} xx 4 = 118 -36 = 82`
Here 82 is divisible by 41.
`:.` 11972 is divisible by 41.
2. Check whether 14063 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1406color{red}{3}=>1406 - color{red}{3} xx 4 = 1406 -12 = 1394`
`139color{red}{4}=>139 - color{red}{4} xx 4 = 139 -16 = 123`
`12color{red}{3}=>12 - color{red}{3} xx 4 = 12 -12 = 0`
Here 0 is divisible by 41.
`:.` 14063 is divisible by 41.
3. Check whether 15129 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1512color{red}{9}=>1512 - color{red}{9} xx 4 = 1512 -36 = 1476`
`147color{red}{6}=>147 - color{red}{6} xx 4 = 147 -24 = 123`
`12color{red}{3}=>12 - color{red}{3} xx 4 = 12 -12 = 0`
Here 0 is divisible by 41.
`:.` 15129 is divisible by 41.
4. Check whether 11310 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1131color{red}{0}=>1131 - color{red}{0} xx 4 = 1131 = 1131`
`113color{red}{1}=>113 - color{red}{1} xx 4 = 113 -4 = 109`
`10color{red}{9}=>10 - color{red}{9} xx 4 = 10 -36 = -26`
Here -26 is not divisible by 41.
`:.` 11310 is not divisible by 41.
5. Check whether 14102 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1410color{red}{2}=>1410 - color{red}{2} xx 4 = 1410 -8 = 1402`
`140color{red}{2}=>140 - color{red}{2} xx 4 = 140 -8 = 132`
`13color{red}{2}=>13 - color{red}{2} xx 4 = 13 -8 = 5`
Here 5 is not divisible by 41.
`:.` 14102 is not divisible by 41.
6. Check whether 15691 is divisible by 41 or not?Solution:Divisibility rule of 41 :
4 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 41, then number is also divisible by 41.
(Apply this rule to the answer again if necessary)
`1569color{red}{1}=>1569 - color{red}{1} xx 4 = 1569 -4 = 1565`
`156color{red}{5}=>156 - color{red}{5} xx 4 = 156 -20 = 136`
`13color{red}{6}=>13 - color{red}{6} xx 4 = 13 -24 = -11`
Here -11 is not divisible by 41.
`:.` 15691 is not divisible by 41.
This material is intended as a summary. Use your textbook for detail explanation.
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