1. Check whether 1794 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 1794 is 4, which is divisible by 2.
`:.` 1794 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 1794 is `1+7+9+4=21`, which is divisible by 3.
`:.` 1794 is divisible by 3.
1794 is divisible by 2 and 3.
`:.` 1794 is divisible by 6.
2. Check whether 1908 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 1908 is 8, which is divisible by 2.
`:.` 1908 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 1908 is `1+9+0+8=18`, which is divisible by 3.
`:.` 1908 is divisible by 3.
1908 is divisible by 2 and 3.
`:.` 1908 is divisible by 6.
3. Check whether 2196 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 2196 is 6, which is divisible by 2.
`:.` 2196 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 2196 is `2+1+9+6=18`, which is divisible by 3.
`:.` 2196 is divisible by 3.
2196 is divisible by 2 and 3.
`:.` 2196 is divisible by 6.
4. Check whether 1634 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 1634 is 4, which is divisible by 2.
`:.` 1634 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 1634 is `1+6+3+4=14`, which is not divisible by 3.
`:.` 1634 is not divisible by 3.
Hence 1634 is also not divisible by 6.
5. Check whether 1929 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 1929 is 9, which is not divisible by 2.
`:.` 1929 is not divisible by 2.
Hence 1929 is also not divisible by 6.
6. Check whether 2353 is divisible by 6 or not?Solution:Divisibility rule of 6 :
If number is divisible by 2 and 3, then number is also divisible by 6.
Divisibility rule of 2 :
The last digit is even, then number is divisible by 2.
Last digit of 2353 is 3, which is not divisible by 2.
`:.` 2353 is not divisible by 2.
Hence 2353 is also not divisible by 6.
This material is intended as a summary. Use your textbook for detail explanation.
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