1. Check whether 12600 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 12600 is `1+2+6+0+0=9`, which is divisible by 9.
`:.` 12600 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 12600 is 0, which is divisible by 5.
`:.` 12600 is divisible by 5.
12600 is divisible by 9 and 5.
`:.` 12600 is divisible by 45.
2. Check whether 15570 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 15570 is `1+5+5+7+0=18`, which is divisible by 9.
`:.` 15570 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 15570 is 0, which is divisible by 5.
`:.` 15570 is divisible by 5.
15570 is divisible by 9 and 5.
`:.` 15570 is divisible by 45.
3. Check whether 16740 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 16740 is `1+6+7+4+0=18`, which is divisible by 9.
`:.` 16740 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 16740 is 0, which is divisible by 5.
`:.` 16740 is divisible by 5.
16740 is divisible by 9 and 5.
`:.` 16740 is divisible by 45.
4. Check whether 12997 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 12997 is `1+2+9+9+7=28`, which is not divisible by 9.
`:.` 12997 is not divisible by 9.
Hence 12997 is also not divisible by 45.
5. Check whether 14512 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 14512 is `1+4+5+1+2=13`, which is not divisible by 9.
`:.` 14512 is not divisible by 9.
Hence 14512 is also not divisible by 45.
6. Check whether 17106 is divisible by 45 or not?Solution:Divisibility rule of 45 :
If number is divisible by 9 and 5, then number is also divisible by 45.
Divisibility rule of 9 :
The sum of the digits is divisible by 9, then number is also divisible by 9.
Sum of digits of 17106 is `1+7+1+0+6=15`, which is not divisible by 9.
`:.` 17106 is not divisible by 9.
Hence 17106 is also not divisible by 45.
This material is intended as a summary. Use your textbook for detail explanation.
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