I am a two digit even number. I am less than 30. When you list out all of my factors, they add up to 60. who am I?

To find the answer, let's first list out all the factors of a two-digit even number less than 30:

The two-digit even numbers less than 30 are: 12, 14, 16, 18, 20, 22, 24, 26, and 28.

Now, we need to check if the factors for any of these numbers add up to 60. Let's calculate the sum of factors for each of them:

For 12 --> Factors: 1, 2, 3, 4, 6, 12 --> Sum: 1 + 2 + 3 + 4 + 6 + 12 = 28
For 14 --> Factors: 1, 2, 7, 14 --> Sum: 1 + 2 + 7 + 14 = 24
For 16 --> Factors: 1, 2, 4, 8, 16 --> Sum: 1 + 2 + 4 + 8 + 16 = 31
For 18 --> Factors: 1, 2, 3, 6, 9, 18 --> Sum: 1 + 2 + 3 + 6 + 9 + 18 = 39
For 20 --> Factors: 1, 2, 4, 5, 10, 20 --> Sum: 1 + 2 + 4 + 5 + 10 + 20 = 42
For 22 --> Factors: 1, 2, 11, 22 --> Sum: 1 + 2 + 11 + 22 = 36
For 24 --> Factors: 1, 2, 3, 4, 6, 8, 12, 24 --> Sum: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 = 60
For 26 --> Factors: 1, 2, 13, 26 --> Sum: 1 + 2 + 13 + 26 = 42
For 28 --> Factors: 1, 2, 4, 7, 14, 28 --> Sum: 1 + 2 + 4 + 7 + 14 + 28 = 56

As we can see, only one number has factors that add up to 60, and that is 24. Therefore, the answer to your riddle is: 24.

24 has the most factors.

1+2+3+4+6+8+12+24 = 60
Bingo. First try!

tyuuyt