Which of the following is true?

A. The factors 7 and 3 are a factor pair of 28.
B. The factors 9 and 12 are a factor pair of 98.
C. The factors 2 and 9 are a factor pair of 16.
D. The factors 6 and 7 are a factor pair of 42.



Answer :

Let's analyze each of the given factor pairs to determine which statement is true.

1. Factors 7 and 3 for 28:
- Multiply 7 and 3:
[tex]\[ 7 \times 3 = 21 \][/tex]
- Check if 21 is equal to 28:
[tex]\[ 21 \neq 28 \][/tex]
- Therefore, 7 and 3 are not a factor pair of 28.

2. Factors 9 and 12 for 98:
- Multiply 9 and 12:
[tex]\[ 9 \times 12 = 108 \][/tex]
- Check if 108 is equal to 98:
[tex]\[ 108 \neq 98 \][/tex]
- Therefore, 9 and 12 are not a factor pair of 98.

3. Factors 2 and 9 for 16:
- Multiply 2 and 9:
[tex]\[ 2 \times 9 = 18 \][/tex]
- Check if 18 is equal to 16:
[tex]\[ 18 \neq 16 \][/tex]
- Therefore, 2 and 9 are not a factor pair of 16.

4. Factors 6 and 7 for 42:
- Multiply 6 and 7:
[tex]\[ 6 \times 7 = 42 \][/tex]
- Check if 42 is equal to 42:
[tex]\[ 42 = 42 \][/tex]
- Therefore, 6 and 7 are indeed a factor pair of 42.

From the analysis, the true statement is:
"The factors 6 and 7 are a factor pair of 42."