1. Check whether 3048 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 3048 is 48, which is divisible by 4.
`:.` 3048 is divisible by 4.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 3048 is `3+0+4+8=15`, which is divisible by 3.
`:.` 3048 is divisible by 3.
3048 is divisible by 4 and 3.
`:.` 3048 is divisible by 12.
2. Check whether 4140 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 4140 is 40, which is divisible by 4.
`:.` 4140 is divisible by 4.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4140 is `4+1+4+0=9`, which is divisible by 3.
`:.` 4140 is divisible by 3.
4140 is divisible by 4 and 3.
`:.` 4140 is divisible by 12.
3. Check whether 4404 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 4404 is 4, which is divisible by 4.
`:.` 4404 is divisible by 4.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4404 is `4+4+0+4=12`, which is divisible by 3.
`:.` 4404 is divisible by 3.
4404 is divisible by 4 and 3.
`:.` 4404 is divisible by 12.
4. Check whether 3078 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 3078 is 78, which is not divisible by 4.
`:.` 3078 is not divisible by 4.
Hence 3078 is also not divisible by 12.
5. Check whether 3847 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 3847 is 47, which is not divisible by 4.
`:.` 3847 is not divisible by 4.
Hence 3847 is also not divisible by 12.
6. Check whether 4288 is divisible by 12 or not?Solution:Divisibility rule of 12 :
If number is divisible by 4 and 3, then number is also divisible by 12.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 4288 is 88, which is divisible by 4.
`:.` 4288 is divisible by 4.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4288 is `4+2+8+8=22`, which is not divisible by 3.
`:.` 4288 is not divisible by 3.
Hence 4288 is also not divisible by 12.
This material is intended as a summary. Use your textbook for detail explanation.
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