1. The problem is to identify and show only even numbers. 2. An even number is any integer divisible by 2 without a remainder. 3. The general formula to check if a number $n$ is even is: $$n \mod 2 = 0$$ 4. This means when you divide $n$ by 2, the remainder should be 0. 5. For example, numbers like 2, 4, 6, 8, 10 are even because: $$2 \mod 2 = 0, \quad 4 \mod 2 = 0, \quad 6 \mod 2 = 0, \quad 8 \mod 2 = 0, \quad 10 \mod 2 = 0$$ 6. Any number that does not satisfy this condition is odd. 7. So, to show only even numbers, filter out all numbers where $n \mod 2 \neq 0$. This completes the explanation of how to identify and show even numbers.