Find the sum of the distinct prime factors of 781 + 691 + 3858.

1 answer

To find the sum of the distinct prime factors of each number, we first need to find the prime factorization of each number.

1. Prime factorization of 781:
781 = 11 * 71

2. Prime factorization of 691:
691 is a prime number itself.

3. Prime factorization of 3858:
3858 = 2 * 3 * 17 * 37

Now, let's find the distinct prime factors of each number:
781: 11, 71
691: 691
3858: 2, 3, 17, 37

Adding up the distinct prime factors, we get:
11 + 71 + 691 + 2 + 3 + 17 + 37 = 832

Therefore, the sum of the distinct prime factors of 781 + 691 + 3858 is 832.