Answer :

Let's analyze the multiplication sentence [tex]\(2 \times 4 = 8\)[/tex].

First, recall that a factor pair consists of two numbers which, when multiplied together, produce a given product. Here, the product is 8.

The multiplication sentence [tex]\(2 \times 4 = 8\)[/tex] already gives us important information:

1. The number 2 is a factor of 8.
2. The number 4 is also a factor of 8.

Now, let's list the factor pairs of 8. A factor pair is two numbers whose product equals 8:

- [tex]\(1 \times 8 = 8\)[/tex]
- [tex]\(2 \times 4 = 8\)[/tex]
- [tex]\(4 \times 2 = 8\)[/tex]

From these computations, we have three factor pairs for 8:

- (1, 8)
- (2, 4)
- (4, 2)

Now, looking at the given choices:

A. 2, 4
B. 2, 8
C. 4, 8

We need to find which of these pairs is a factor pair of 8. Based on our list:

- Pair A (2, 4) is a correct factor pair of 8 as [tex]\(2 \times 4 = 8\)[/tex].
- Pair B (2, 8) is incorrect since [tex]\(2 \times 8 = 16\)[/tex].
- Pair C (4, 8) is incorrect since [tex]\(4 \times 8 = 32\)[/tex].

Therefore, the factor pair for the multiplication sentence [tex]\(2 \times 4 = 8\)[/tex] that fits correctly is:

A. 2, 4