1. Check whether 9720 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 9720 is 20, which is divisible by 4.
`:.` 9720 is divisible by 4.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 9720 is `9+7+2+0=18`, which is divisible by 9.
`:.` 9720 is divisible by 9.
9720 is divisible by 4 and 9.
`:.` 9720 is divisible by 36.
2. Check whether 12348 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 12348 is 48, which is divisible by 4.
`:.` 12348 is divisible by 4.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 12348 is `1+2+3+4+8=18`, which is divisible by 9.
`:.` 12348 is divisible by 9.
12348 is divisible by 4 and 9.
`:.` 12348 is divisible by 36.
3. Check whether 14076 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 14076 is 76, which is divisible by 4.
`:.` 14076 is divisible by 4.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 14076 is `1+4+0+7+6=18`, which is divisible by 9.
`:.` 14076 is divisible by 9.
14076 is divisible by 4 and 9.
`:.` 14076 is divisible by 36.
4. Check whether 10110 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 10110 is 10, which is not divisible by 4.
`:.` 10110 is not divisible by 4.
Hence 10110 is also not divisible by 36.
5. Check whether 11475 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 11475 is 75, which is not divisible by 4.
`:.` 11475 is not divisible by 4.
Hence 11475 is also not divisible by 36.
6. Check whether 13510 is divisible by 36 or not?Solution:Divisibility rule of 36 :
If number is divisible by 4 and 9, then number is also divisible by 36.
Divisibility rule of 4 :
The last two digit is divisible by 4, then number is also divisible by 4.
Last 2 digit of 13510 is 10, which is not divisible by 4.
`:.` 13510 is not divisible by 4.
Hence 13510 is also not divisible by 36.
This material is intended as a summary. Use your textbook for detail explanation.
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