Find the sum of the distinct prime factors of 728 + 118 + 2024.

Answer 1

To find the distinct prime factors of each number, we can factorize each number:

- 728 = 2^3 * 7 * 13
- 118 = 2 * 59
- 2024 = 2^3 * 11 * 23

Now let's find the sum of the distinct prime factors:

- Prime factors of 728: 2, 7, 13
- Prime factors of 118: 2, 59
- Prime factors of 2024: 2, 11, 23

Sum of distinct prime factors = 2 + 7 + 13 + 11 + 23 + 59 = 115

Therefore, the sum of the distinct prime factors of 728 + 118 + 2024 is 115.