1. Check whether 24480 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 24480 is 24480, which is divisible by 32.
`:.` 24480 is divisible by 32.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 24480 is `2+4+4+8+0=18`, which is divisible by 3.
`:.` 24480 is divisible by 3.
24480 is divisible by 32 and 3.
`:.` 24480 is divisible by 96.
2. Check whether 30144 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 30144 is 30144, which is divisible by 32.
`:.` 30144 is divisible by 32.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 30144 is `3+0+1+4+4=12`, which is divisible by 3.
`:.` 30144 is divisible by 3.
30144 is divisible by 32 and 3.
`:.` 30144 is divisible by 96.
3. Check whether 36288 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 36288 is 36288, which is divisible by 32.
`:.` 36288 is divisible by 32.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 36288 is `3+6+2+8+8=27`, which is divisible by 3.
`:.` 36288 is divisible by 3.
36288 is divisible by 32 and 3.
`:.` 36288 is divisible by 96.
4. Check whether 26615 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 26615 is 26615, which is not divisible by 32.
`:.` 26615 is not divisible by 32.
Hence 26615 is also not divisible by 96.
5. Check whether 31994 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 31994 is 31994, which is not divisible by 32.
`:.` 31994 is not divisible by 32.
Hence 31994 is also not divisible by 96.
6. Check whether 37431 is divisible by 96 or not?Solution:Divisibility rule of 96 :
If number is divisible by 32 and 3, then number is also divisible by 96.
Divisibility rule of 32 :
The last five digit is divisible by 32, then number is also divisible by 32.
Last 5 digit of 37431 is 37431, which is not divisible by 32.
`:.` 37431 is not divisible by 32.
Hence 37431 is also not divisible by 96.
This material is intended as a summary. Use your textbook for detail explanation.
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