Which is a complete list of factors of each term in the expression 16 a + 18 a b?

Question

16a: 1, 2, 4, 8, 16
18ab: 1, 2, 3, 6, 9, 18
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, b
16a: 2, 4, 8, a
18ab: 2, 3, 6, 9, a, b
16a: 1, 2, 4, 8, 16, a

Answer 1

To find the complete list of factors for each term in the expression \(16a + 18ab\), we need to determine the factors of each coefficient along with the variable(s) involved.

For the term \(16a\):

1. The factors of \(16\) are:

   • \(1, 2, 4, 8, 16\)

2. Since the term also includes the variable \(a\), we can include \(a\) itself as a factor.

Thus, the complete list of factors for \(16a\) is:

• \(1, 2, 4, 8, 16, a\)

For the term \(18ab\):

1. The factors of \(18\) are:

   • \(1, 2, 3, 6, 9, 18\)

2. Since the term includes both \(a\) and \(b\), we can include these variables as well.

Thus, the complete list of factors for \(18ab\) is:

• \(1, 2, 3, 6, 9, 18, a, b\)

Combining the results:

• The factors of \(16a\) are: \(1, 2, 4, 8, 16, a\)
• The factors of \(18ab\) are: \(1, 2, 3, 6, 9, 18, a, b\)

So, the correct complete list of factors is:

• \(16a: 1, 2, 4, 8, 16, a\)
• \(18ab: 1, 2, 3, 6, 9, 18, a, b\)