1. Check whether 26370 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 26370 is 0, which is divisible by 2.
`:.` 26370 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 26370 is `2+6+3+7+0=18`, which is divisible by 9.
`:.` 26370 is divisible by 9.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 26370 is 0, which is divisible by 5.
`:.` 26370 is divisible by 5.
26370 is divisible by 2,9 and 5.
`:.` 26370 is divisible by 90.
2. Check whether 27810 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 27810 is 0, which is divisible by 2.
`:.` 27810 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 27810 is `2+7+8+1+0=18`, which is divisible by 9.
`:.` 27810 is divisible by 9.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 27810 is 0, which is divisible by 5.
`:.` 27810 is divisible by 5.
27810 is divisible by 2,9 and 5.
`:.` 27810 is divisible by 90.
3. Check whether 32040 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 32040 is 0, which is divisible by 2.
`:.` 32040 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 32040 is `3+2+0+4+0=9`, which is divisible by 9.
`:.` 32040 is divisible by 9.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 32040 is 0, which is divisible by 5.
`:.` 32040 is divisible by 5.
32040 is divisible by 2,9 and 5.
`:.` 32040 is divisible by 90.
4. Check whether 23742 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 23742 is 2, which is divisible by 2.
`:.` 23742 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 23742 is `2+3+7+4+2=18`, which is divisible by 9.
`:.` 23742 is divisible by 9.
Divisibility rule of 5 :
The last digit is 0 or 5, then number is also divisible by 5.
Last digit of 23742 is 2, which is not divisible by 5.
`:.` 23742 is not divisible by 5.
Hence 23742 is also not divisible by 90.
5. Check whether 29079 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 29079 is 9, which is not divisible by 2.
`:.` 29079 is not divisible by 2.
Hence 29079 is also not divisible by 90.
6. Check whether 32252 is divisible by 90 or not?Solution:Divisibility rule of 90 :
If number is divisible by 2,9 and 5, then number is also divisible by 90.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 32252 is 2, which is divisible by 2.
`:.` 32252 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 32252 is `3+2+2+5+2=14`, which is not divisible by 9.
`:.` 32252 is not divisible by 9.
Hence 32252 is also not divisible by 90.
This material is intended as a summary. Use your textbook for detail explanation.
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