1. Check whether 6831 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`683color{red}{1}=>683 - color{red}{1} xx 8 = 683 -8 = 675`
`67color{red}{5}=>67 - color{red}{5} xx 8 = 67 -40 = 27`
Here 27 is divisible by 27.
`:.` 6831 is divisible by 27.
2. Check whether 8100 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`810color{red}{0}=>810 - color{red}{0} xx 8 = 810 = 810`
`81color{red}{0}=>81 - color{red}{0} xx 8 = 81 = 81`
Here 81 is divisible by 27.
`:.` 8100 is divisible by 27.
3. Check whether 9531 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`953color{red}{1}=>953 - color{red}{1} xx 8 = 953 -8 = 945`
`94color{red}{5}=>94 - color{red}{5} xx 8 = 94 -40 = 54`
Here 54 is divisible by 27.
`:.` 9531 is divisible by 27.
4. Check whether 7281 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`728color{red}{1}=>728 - color{red}{1} xx 8 = 728 -8 = 720`
`72color{red}{0}=>72 - color{red}{0} xx 8 = 72 = 72`
Here 72 is not divisible by 27.
`:.` 7281 is not divisible by 27.
5. Check whether 8372 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`837color{red}{2}=>837 - color{red}{2} xx 8 = 837 -16 = 821`
`82color{red}{1}=>82 - color{red}{1} xx 8 = 82 -8 = 74`
Here 74 is not divisible by 27.
`:.` 8372 is not divisible by 27.
6. Check whether 10390 is divisible by 27 or not?Solution:Divisibility rule of 27 :
8 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 27, then number is also divisible by 27.
(Apply this rule to the answer again if necessary)
`1039color{red}{0}=>1039 - color{red}{0} xx 8 = 1039 = 1039`
`103color{red}{9}=>103 - color{red}{9} xx 8 = 103 -72 = 31`
Here 31 is not divisible by 27.
`:.` 10390 is not divisible by 27.
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then