Question

If p is a prime number greater than 3, which of the following represents the sum of the positive prime factors of 3p?

a) p + 3
b) p + 1
c) p - 3
d) p - 1

Answer 1

The sum of the positive prime factors of 3p, where p is a prime number greater than 3, is simply p + 3.

Step-by-step explanation:

The question asks for the sum of the positive prime factors of 3p where p is a prime number greater than 3. Since p is prime, its only prime factor is itself. The number 3 is also prime. Therefore, the sum of the prime factors of 3p will simply be 3 + p, which corresponds to option (a) p + 3.