1. Check whether 4035 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4035 is `4+0+3+5=12`, which is divisible by 3.
`:.` 4035 is divisible by 3.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 4035 is 5, which is divisible by 5.
`:.` 4035 is divisible by 5.
4035 is divisible by 3 and 5.
`:.` 4035 is divisible by 15.
2. Check whether 5160 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 5160 is `5+1+6+0=12`, which is divisible by 3.
`:.` 5160 is divisible by 3.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 5160 is 0, which is divisible by 5.
`:.` 5160 is divisible by 5.
5160 is divisible by 3 and 5.
`:.` 5160 is divisible by 15.
3. Check whether 5400 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 5400 is `5+4+0+0=9`, which is divisible by 3.
`:.` 5400 is divisible by 3.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 5400 is 0, which is divisible by 5.
`:.` 5400 is divisible by 5.
5400 is divisible by 3 and 5.
`:.` 5400 is divisible by 15.
4. Check whether 4324 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4324 is `4+3+2+4=13`, which is not divisible by 3.
`:.` 4324 is not divisible by 3.
Hence 4324 is also not divisible by 15.
5. Check whether 4962 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 4962 is `4+9+6+2=21`, which is divisible by 3.
`:.` 4962 is divisible by 3.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 4962 is 2, which is not divisible by 5.
`:.` 4962 is not divisible by 5.
Hence 4962 is also not divisible by 15.
6. Check whether 5826 is divisible by 15 or not?Solution:Divisibility rule of 15 :
If number is divisible by 3 and 5, then number is also divisible by 15.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 5826 is `5+8+2+6=21`, which is divisible by 3.
`:.` 5826 is divisible by 3.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 5826 is 6, which is not divisible by 5.
`:.` 5826 is not divisible by 5.
Hence 5826 is also not divisible by 15.
This material is intended as a summary. Use your textbook for detail explanation.
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