1. Check whether 5076 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 5076 is 6, which is divisible by 2.
`:.` 5076 is divisible by 2.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 5076 is `5+0+7+6=18`, which is divisible by 9.
`:.` 5076 is divisible by 9.
5076 is divisible by 2 and 9.
`:.` 5076 is divisible by 18.
2. Check whether 5688 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 5688 is 8, which is divisible by 2.
`:.` 5688 is divisible by 2.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 5688 is `5+6+8+8=27`, which is divisible by 9.
`:.` 5688 is divisible by 9.
5688 is divisible by 2 and 9.
`:.` 5688 is divisible by 18.
3. Check whether 7020 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 7020 is 0, which is divisible by 2.
`:.` 7020 is divisible by 2.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 7020 is `7+0+2+0=9`, which is divisible by 9.
`:.` 7020 is divisible by 9.
7020 is divisible by 2 and 9.
`:.` 7020 is divisible by 18.
4. Check whether 5342 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 5342 is 2, which is divisible by 2.
`:.` 5342 is divisible by 2.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 5342 is `5+3+4+2=14`, which is not divisible by 9.
`:.` 5342 is not divisible by 9.
Hence 5342 is also not divisible by 18.
5. Check whether 6078 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 6078 is 8, which is divisible by 2.
`:.` 6078 is divisible by 2.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 6078 is `6+0+7+8=21`, which is not divisible by 9.
`:.` 6078 is not divisible by 9.
Hence 6078 is also not divisible by 18.
6. Check whether 6467 is divisible by 18 or not?Solution:Divisibility rule of 18 :
If number is divisible by 2 and 9, then number is also divisible by 18.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 6467 is 7, which is not divisible by 2.
`:.` 6467 is not divisible by 2.
Hence 6467 is also not divisible by 18.
This material is intended as a summary. Use your textbook for detail explanation.
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