1. Check whether 8490 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 8490 is 0, which is divisible by 2.
`:.` 8490 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 8490 is `8+4+9+0=21`, which is divisible by 3.
`:.` 8490 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 8490 is 0, which is divisible by 5.
`:.` 8490 is divisible by 5.
8490 is divisible by 2,3 and 5.
`:.` 8490 is divisible by 30.
2. Check whether 9660 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 9660 is 0, which is divisible by 2.
`:.` 9660 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 9660 is `9+6+6+0=21`, which is divisible by 3.
`:.` 9660 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 9660 is 0, which is divisible by 5.
`:.` 9660 is divisible by 5.
9660 is divisible by 2,3 and 5.
`:.` 9660 is divisible by 30.
3. Check whether 11340 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 11340 is 0, which is divisible by 2.
`:.` 11340 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 11340 is `1+1+3+4+0=9`, which is divisible by 3.
`:.` 11340 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 11340 is 0, which is divisible by 5.
`:.` 11340 is divisible by 5.
11340 is divisible by 2,3 and 5.
`:.` 11340 is divisible by 30.
4. Check whether 7602 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 7602 is 2, which is divisible by 2.
`:.` 7602 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 7602 is `7+6+0+2=15`, which is divisible by 3.
`:.` 7602 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 7602 is 2, which is not divisible by 5.
`:.` 7602 is not divisible by 5.
Hence 7602 is also not divisible by 30.
5. Check whether 10270 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 10270 is 0, which is divisible by 2.
`:.` 10270 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 10270 is `1+0+2+7+0=10`, which is not divisible by 3.
`:.` 10270 is not divisible by 3.
Hence 10270 is also not divisible by 30.
6. Check whether 11920 is divisible by 30 or not?Solution:Divisibility rule of 30 :
If number is divisible by 2,3 and 5, then number is also divisible by 30.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 11920 is 0, which is divisible by 2.
`:.` 11920 is divisible by 2.
Divisibility rule of 3 :
The sum of the digits is divisible by 3, then number is also divisible by 3.
Sum of digits of 11920 is `1+1+9+2+0=13`, which is not divisible by 3.
`:.` 11920 is not divisible by 3.
Hence 11920 is also not divisible by 30.
This material is intended as a summary. Use your textbook for detail explanation.
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