1. Check whether 22496 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 22496 is 96, which is divisible by 4.
`:.` 22496 is divisible by 4.
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)
`2249color{red}{6}=>2249 + color{red}{6} xx 2 = 2249 +12 = 2261`
`226color{red}{1}=>226 + color{red}{1} xx 2 = 226 +2 = 228`
`22color{red}{8}=>22 + color{red}{8} xx 2 = 22 +16 = 38`
Here 38 is divisible by 19.
`:.` 22496 is divisible by 19.
22496 is divisible by 4 and 19.
`:.` 22496 is divisible by 76.
2. Check whether 25232 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 25232 is 32, which is divisible by 4.
`:.` 25232 is divisible by 4.
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)
`2523color{red}{2}=>2523 + color{red}{2} xx 2 = 2523 +4 = 2527`
`252color{red}{7}=>252 + color{red}{7} xx 2 = 252 +14 = 266`
`26color{red}{6}=>26 + color{red}{6} xx 2 = 26 +12 = 38`
Here 38 is divisible by 19.
`:.` 25232 is divisible by 19.
25232 is divisible by 4 and 19.
`:.` 25232 is divisible by 76.
3. Check whether 28196 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 28196 is 96, which is divisible by 4.
`:.` 28196 is divisible by 4.
Divisibility rule of 19 :
2 times the last digit and add it to the rest of the number.
If the answer is divisible by 19, then number is also divisible by 19.
(Apply this rule to the answer again if necessary)
`2819color{red}{6}=>2819 + color{red}{6} xx 2 = 2819 +12 = 2831`
`283color{red}{1}=>283 + color{red}{1} xx 2 = 283 +2 = 285`
`28color{red}{5}=>28 + color{red}{5} xx 2 = 28 +10 = 38`
Here 38 is divisible by 19.
`:.` 28196 is divisible by 19.
28196 is divisible by 4 and 19.
`:.` 28196 is divisible by 76.
4. Check whether 22070 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 22070 is 70, which is not divisible by 4.
`:.` 22070 is not divisible by 4.
Hence 22070 is also not divisible by 76.
5. Check whether 25251 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 25251 is 51, which is not divisible by 4.
`:.` 25251 is not divisible by 4.
Hence 25251 is also not divisible by 76.
6. Check whether 27691 is divisible by 76 or not?Solution:Divisibility rule of 76 :
If number is divisible by 4 and 19, then number is also divisible by 76.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 27691 is 91, which is not divisible by 4.
`:.` 27691 is not divisible by 4.
Hence 27691 is also not divisible by 76.
This material is intended as a summary. Use your textbook for detail explanation.
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