Question

Find the smallest three- digit number divisible by $2$ as well as $3$.

Answer 1

If a number is divisible by $2$ as well as $3$, then it will be divisible by $6$

Now, the smallest $3$ digit number is $100$

If we divide $100$ by $6$ , the remainder is $4$

So, to make the number divisible, we have to add $(6-4)=2$ to the number $100$

So, the smallest $3$-digit number divisible by $2$ and $3$ is $=100+2=102$