Question

Test the divisibility of the following numbers by $6$

$809728$

Answer 1

We know that A number is divisible by $6$, if it is divisible by 2 and 3 both

In other words we say that A number is divisible by $6$, if it is an even number and divisible by $3$

$809728$

Here first we check the divisibility of $2$

unit place is $8$ so we say the number is divisible by $2$.

Now check the divisibility of $3$

Sum of digit is divisible by $3$

So the sum of digit is $8+0+9+7+2+8=34$

$34$ is not divisible by $3$

so the number is not divisible by $3$

Hence the number $75642$ is not divisible by $6$.$\mathrm{}$