1. The problem is to understand what an even number is and to see examples of even numbers up to one hundred million. 2. An even number is any integer that can be exactly divided by 2 without leaving a remainder. The formula to check if a number $n$ is even is: $$n \mod 2 = 0$$ This means when you divide $n$ by 2, the remainder is 0. 3. Important rule: All even numbers end with 0, 2, 4, 6, or 8 in their units place. 4. Examples of even numbers up to one hundred million include: - 2 - 10 - 100 - 1,000 - 10,000 - 1,000,000 - 10,000,000 - 100,000,000 5. To verify, for example, 100,000,000: $$100000000 \mod 2 = 0$$ which confirms it is even. 6. Therefore, any number ending with 0, 2, 4, 6, or 8 up to 100,000,000 is an even number.