1. Check whether 7032 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 7032 is 32, which is divisible by 8.
`:.` 7032 is divisible by 8.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 7032 is `7+0+3+2=12`, which is divisible by 3.
`:.` 7032 is divisible by 3.
7032 is divisible by 8 and 3.
`:.` 7032 is divisible by 24.
2. Check whether 7584 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 7584 is 584, which is divisible by 8.
`:.` 7584 is divisible by 8.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 7584 is `7+5+8+4=24`, which is divisible by 3.
`:.` 7584 is divisible by 3.
7584 is divisible by 8 and 3.
`:.` 7584 is divisible by 24.
3. Check whether 8832 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 8832 is 832, which is divisible by 8.
`:.` 8832 is divisible by 8.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 8832 is `8+8+3+2=21`, which is divisible by 3.
`:.` 8832 is divisible by 3.
8832 is divisible by 8 and 3.
`:.` 8832 is divisible by 24.
4. Check whether 7130 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 7130 is 130, which is not divisible by 8.
`:.` 7130 is not divisible by 8.
Hence 7130 is also not divisible by 24.
5. Check whether 7873 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 7873 is 873, which is not divisible by 8.
`:.` 7873 is not divisible by 8.
Hence 7873 is also not divisible by 24.
6. Check whether 8806 is divisible by 24 or not?Solution:Divisibility rule of 24 :
If number is divisible by 8 and 3, then number is also divisible by 24.
Divisibility rule of 8 :
The last three digit is divisible by 8, then number is also divisible by 8.
Last 3 digit of 8806 is 806, which is not divisible by 8.
`:.` 8806 is not divisible by 8.
Hence 8806 is also not divisible by 24.
This material is intended as a summary. Use your textbook for detail explanation.
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