Question

Identify the positive integers that are not relatively prime to 18. (Check all that apply)

a.5
b.2
c.7
d.6

Answer 1

To identify the positive integers that are not relatively prime to 18, we need to find the numbers that have a common factor with 18 other than 1. The positive integers that are not relatively prime to 18 are 2 and 6.

Step-by-step explanation:

To identify the positive integers that are not relatively prime to 18, we need to find the numbers that have a common factor with 18 other than 1. One way to do this is to find the prime factorization of 18, which is 2 * 3 * 3. Now, we can check each of the given integers to see if they have any common factors with 18.

a. 5: 5 is not a factor of 18, so it is relatively prime.

b. 2: 2 is a factor of 18, so it is not relatively prime.

c. 7: 7 is not a factor of 18, so it is relatively prime.

d. 6: 6 is a factor of 18, so it is not relatively prime.

Therefore, the positive integers that are not relatively prime to 18 are b. 2 and d.