What are the Factor Pairs of 28?

Factor Pairs of 28

Answer: The factor pairs of 28 are (1, 28), (2, 14), and (4, 7).

Explanation: A factor pair of a number consists of two numbers that, when multiplied together, give that original number. To find the factor pairs of 28, we systematically look for integers that divide 28 evenly:

1. Start with 1: 1 multiplied by 28 equals 28. So, (1, 28) is a factor pair.

2. Move to 2: 2 multiplied by 14 equals 28. So, (2, 14) is a factor pair.

3. Try 3: 28 is not divisible by 3 (2+8=10, which is not a multiple of 3).

4. Move to 4: 4 multiplied by 7 equals 28. So, (4, 7) is a factor pair.

5. Try 5: 28 does not end in 0 or 5, so it's not divisible by 5.

6. Try 6: 28 is not divisible by 6 (28/6 is not an integer).

7. Move to 7: We've already found 7 in the pair (4, 7). Once you reach a factor that has already appeared as the second number in a pair, you have found all the unique factor pairs.

Therefore, the complete list of factor pairs for 28 is (1, 28), (2, 14), and (4, 7).