Question

Check whether $456$ and $618$ are divisible by $6$? Also check whether $6$ divides the sum of $456$ and $618$?

Answer 1

For Divisible by 6 it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.
Now, Let us use the above rule as follows $:-$
For $456$, it is an even number and $4+5+6=15$ which is divisible by $3$.
Similarly, For $618$ it is an even number and $6+1+8=15$ which is divisible by $3$.
Therefore, Both numbers are divisible by $6$
Now, Sum $\to 456+618=1074$
Applying the same Rule as above,For $1074$, it is an even number and $1+0+7+4=12$ which is divisible by $3$.
Therefore it is divisible by $6$