(a) 297144: – Since, the last digits of the number is 4, it is divisible by 2.
On adding all the digits of the number, the sum obtained is 27. Since 27 is divisible by 3, the given number is also divisible by 3.
As the number is divisible by both 2 and 3, it is divisible by 6.
(b) 1258:- Since the last digit of the number is 8 , it is divisible by 2.
On adding all the digits of the number, the sum obtained is 16, is not divisible by 3, the given number is also not divisible by 3.
As the number is not divisible by both 2 &3. it is not divisible by 6.
(c) 4335:- The last digit of the number is 5, Which is not divisible by 2. Therefore the given number is also not divisible by 2.
On adding all the digits of the number, the sum obtained is 15, Since 15 is divisible by 3. As the number is not divisible by both 2 & 3. It is not divisible by 6
(d) 61233:- The last digit of the number is 3, Which is not divisible by 2. Therefore, the given number is also not divisible by 2
On adding all the digits of the number the sum obtained is 15. Since 15 is divisible by 3, the given number is also divisible by 3.
As the number is not divisible by both 2 & 3. it is not divisible by 6.
(e) 901352: -Since, the last digit of the number is 2 , It is divisible by 2.
On adding all the digits of the number, the sum obtained is 20. Since 20 is not divisible by 3, the given number is also not divisible by 3.
As the number is not division by both 2 & 3. it is not divisible by 6.
(f) 438750:- Since, the last digits of the number is 0, it is divisible by 2.
On adding all the digits of the number, the sum obtained is 27. Since 27 is divisible by 3, the given number is also divisible by 3.
As the number is divisible by both 2 & 3, it is divisible by 6.
(g) 1790184:- Since, the last digit of the number is 4, it is divisible by 2.
On adding all the digit of the number the sum obtained is 30. Since 30 is divisible by 3, the given number is also divisible by 3.
As the number is divisible by both 2&3. it is divisible by 6.
(h) 12583:- Since, the last digit of the number is 3, it is not divisible by 2.
On adding all the digit of the number, the sum obtained is 19, Since 19 is not divisible by 3
The given number is also not divisible by 3
As the number is not divisible by both 2 & 3. It is not divisible by 6
(i) 639210:- Since, the last digit of the number is 0. it is divisible by 2
On adding all the digits of the number the sum obtained is 21, Since 21 is divisible by 3, the given number is also divisible by 3.
As the number is divisible by both 2 & 3, it is divisible by 6.
(j) 17852:- Since, the last digits of the number is 2. it is divisible by 2
On adding all the digits of the numbers, the sum obtained is 23. Since 23 is not divisible by 3, the given number is also not divisible by 3.
As the number is not divisible by both 2 & 3, It is not divisible by 6.
