1. Check whether 15792 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 15792 is 792, which is divisible by 8.
`:.` 15792 is divisible by 8.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`1579color{red}{2}=>1579 - color{red}{2} xx 2 = 1579 -4 = 1575`
`157color{red}{5}=>157 - color{red}{5} xx 2 = 157 -10 = 147`
`14color{red}{7}=>14 - color{red}{7} xx 2 = 14 -14 = 0`
Here 0 is divisible by 7.
`:.` 15792 is divisible by 7.
15792 is divisible by 8 and 7.
`:.` 15792 is divisible by 56.
2. Check whether 18536 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 18536 is 536, which is divisible by 8.
`:.` 18536 is divisible by 8.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`1853color{red}{6}=>1853 - color{red}{6} xx 2 = 1853 -12 = 1841`
`184color{red}{1}=>184 - color{red}{1} xx 2 = 184 -2 = 182`
`18color{red}{2}=>18 - color{red}{2} xx 2 = 18 -4 = 14`
Here 14 is divisible by 7.
`:.` 18536 is divisible by 7.
18536 is divisible by 8 and 7.
`:.` 18536 is divisible by 56.
3. Check whether 21728 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 21728 is 728, which is divisible by 8.
`:.` 21728 is divisible by 8.
Divisibility rule of 7 :
2 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 7, then number is also divisible by 7.
(Apply this rule to the answer again if necessary)
`2172color{red}{8}=>2172 - color{red}{8} xx 2 = 2172 -16 = 2156`
`215color{red}{6}=>215 - color{red}{6} xx 2 = 215 -12 = 203`
`20color{red}{3}=>20 - color{red}{3} xx 2 = 20 -6 = 14`
Here 14 is divisible by 7.
`:.` 21728 is divisible by 7.
21728 is divisible by 8 and 7.
`:.` 21728 is divisible by 56.
4. Check whether 15103 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 15103 is 103, which is not divisible by 8.
`:.` 15103 is not divisible by 8.
Hence 15103 is also not divisible by 56.
5. Check whether 17389 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 17389 is 389, which is not divisible by 8.
`:.` 17389 is not divisible by 8.
Hence 17389 is also not divisible by 56.
6. Check whether 21051 is divisible by 56 or not?Solution:Divisibility rule of 56 :
If number is divisible by 8 and 7, then number is also divisible by 56.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 21051 is 51, which is not divisible by 8.
`:.` 21051 is not divisible by 8.
Hence 21051 is also not divisible by 56.
This material is intended as a summary. Use your textbook for detail explanation.
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