1. Check whether 16038 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 16038 is 8, which is divisible by 2.
`:.` 16038 is divisible by 2.
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)
`1603color{red}{8}=>1603 - color{red}{8} xx 8 = 1603 -64 = 1539`
`153color{red}{9}=>153 - color{red}{9} xx 8 = 153 -72 = 81`
Here 81 is divisible by 27.
`:.` 16038 is divisible by 27.
16038 is divisible by 2 and 27.
`:.` 16038 is divisible by 54.
2. Check whether 18144 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 18144 is 4, which is divisible by 2.
`:.` 18144 is divisible by 2.
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)
`1814color{red}{4}=>1814 - color{red}{4} xx 8 = 1814 -32 = 1782`
`178color{red}{2}=>178 - color{red}{2} xx 8 = 178 -16 = 162`
`16color{red}{2}=>16 - color{red}{2} xx 8 = 16 -16 = 0`
Here 0 is divisible by 27.
`:.` 18144 is divisible by 27.
18144 is divisible by 2 and 27.
`:.` 18144 is divisible by 54.
3. Check whether 21384 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 21384 is 4, which is divisible by 2.
`:.` 21384 is divisible by 2.
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)
`2138color{red}{4}=>2138 - color{red}{4} xx 8 = 2138 -32 = 2106`
`210color{red}{6}=>210 - color{red}{6} xx 8 = 210 -48 = 162`
`16color{red}{2}=>16 - color{red}{2} xx 8 = 16 -16 = 0`
Here 0 is divisible by 27.
`:.` 21384 is divisible by 27.
21384 is divisible by 2 and 27.
`:.` 21384 is divisible by 54.
4. Check whether 14232 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 14232 is 2, which is divisible by 2.
`:.` 14232 is divisible by 2.
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)
`1423color{red}{2}=>1423 - color{red}{2} xx 8 = 1423 -16 = 1407`
`140color{red}{7}=>140 - color{red}{7} xx 8 = 140 -56 = 84`
Here 84 is not divisible by 27.
`:.` 14232 is not divisible by 27.
Hence 14232 is also not divisible by 54.
5. Check whether 16855 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 16855 is 5, which is not divisible by 2.
`:.` 16855 is not divisible by 2.
Hence 16855 is also not divisible by 54.
6. Check whether 19515 is divisible by 54 or not?Solution:Divisibility rule of 54 :
If number is divisible by 2 and 27, then number is also divisible by 54.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 19515 is 5, which is not divisible by 2.
`:.` 19515 is not divisible by 2.
Hence 19515 is also not divisible by 54.
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
