Question

Find the smallest five digit even number.

Answer 1

Hint: We first find the smallest five-digit number and then check if the number is divisible by 2. All even numbers are divisible by 2. We check the divisibility and show that it satisfies both conditions.

Complete step by step solution:
We first find the smallest five-digit number. The number is 10000.
Now we have to find the smallest five-digit even number.
Even numbers are divisible by 2.
We now just need to check if 10000 is divisible by 2.
$2\overset{5000}{\overline{\left){\begin{align}
  & 10000 \\
 & \underline{10000} \\
 & 0 \\
\end{align}}\right.}}$
Therefore, the smallest five digit even number is 10000.
So, the correct answer is “10000”.

Note: If in any case the number was odd and for that reason not divisible by 2 then we would have to add 1 to find the closest even number to find the smallest five digits even number.