Five three-digit numbers that are multiples of 2:

1. 200: 200 is a three-digit number that is a multiple of 2. It is formed by multiplying 2 by 100. The number 2 is a factor of 200, which means that 200 can be evenly divided by 2 without leaving a remainder.

2. 202: 202 is another three-digit number that is a multiple of 2. It is formed by multiplying 2 by 101. Similar to 200, 2 is a factor of 202, making it divisible by 2 without a remainder.

3. 204: 204 is a three-digit number that is a multiple of 2. It is formed by multiplying 2 by 102. Just like the previous numbers, 2 is a factor of 204, indicating that it can be divided by 2 evenly.

4. 206: 206 is a three-digit number that is a multiple of 2. It is formed by multiplying 2 by 103. As with the other numbers mentioned, 2 is a factor of 206, making it divisible by 2 without leaving a remainder.

5. 208: 208 is the last three-digit number on the list that is a multiple of 2. It is formed by multiplying 2 by 104. Once again, 2 is a factor of 208, signifying that it can be evenly divided by 2.

Explanation:
- To find three-digit numbers that are multiples of 2, we need to look for numbers that can be evenly divided by 2 without leaving a remainder.
- In a three-digit number, the first digit can range from 1 to 9, while the second and third digits can range from 0 to 9.
- By multiplying 2 by the possible combinations of these digits, we can find the numbers that meet the criteria.
- Starting with the first digit, we can choose any number from 1 to 9. For each chosen digit, we then consider all possible combinations of the second and third digits from 0 to 9.
- For example, if we choose the first digit as 2, we can then multiply it by 10 (the second digit) and add any number from 0 to 9 (the third digit) to form a three-digit number that is a multiple of 2.
- By repeating this process for each possible combination of digits, we can find multiple three-digit numbers that are divisible by 2.