Question

If a, b, and c are prime numbers, do (a +

b.and c have a common factor that is greater than 1 ?

Answer 1

If a, b, and c are prime numbers, there is no common factor greater than 1 between (a + b) and c.

Step-by-step explanation:

To determine if (a + b) and c have a common factor greater than 1, we need to consider the prime factorization of each number. If a, b, and c are prime numbers, then their prime factorizations would consist of only the numbers themselves. For example, if a = 2, b = 3, and c = 5, (a + b) = 2 + 3 = 5 and there is no common factor greater than 1.

Answer 2

Let's do the math. In the example a =2, b = 3, c = 5. If we are trying to see if the sum of these numbers has a common factor more than 1 do the math. 2 + 3 + 5 = 10. Ten has four factors which are 1, 2, 5, and 10. So the answer to your question is yes.