The numbers are 2 and 18.

You need to find 3 numbers that multiply to 18, but you are given one of them. In other words, you need to find x and y such that

x*2*y = 18

One of your numbers will be x*2. The other of your numbers will be 2*y. You are not allowed to choose x and y such that they have any common factors.

From the above equation, we know that

x*y = 9

From our math facts, we know that

9 = 1*9 = 3*3

Of these factor pairs, we eliminate 3, 3 because they have 3 as a common factor. Thus, choices for your two numbers are (x, y) = (1, 9)

1*2 = 2, 9*2 = 18 {2, 18} is the only solution to your problem

x*2*y = 18

One of your numbers will be x*2. The other of your numbers will be 2*y. You are not allowed to choose x and y such that they have any common factors.

From the above equation, we know that

x*y = 9

From our math facts, we know that

9 = 1*9 = 3*3

Of these factor pairs, we eliminate 3, 3 because they have 3 as a common factor. Thus, choices for your two numbers are (x, y) = (1, 9)

1*2 = 2, 9*2 = 18 {2, 18} is the only solution to your problem