Answer :

To determine which numbers are the factors in the problem [tex]\(4 \times 12 = 48\)[/tex], we need to understand the definition of factors in multiplication. Factors are the numbers that, when multiplied together, result in a given product. Here is a step-by-step analysis to identify the factors in the given multiplication:

1. Identify the multiplication equation: [tex]\(4 \times 12 = 48\)[/tex].

2. Determine the product: The product of the multiplication is 48.

3. Identify the numbers being multiplied: The numbers being multiplied are 4 and 12.

4. Define factors: Factors are numbers that are multiplied together to get a product.

Therefore, the factors in the multiplication [tex]\(4 \times 12 = 48\)[/tex] are the two numbers that are multiplied together, which are 4 and 12.

So, among the provided options:

- Option A (4, 12, and 48): This includes the product, so it’s not correct.

- Option B (12 and 48): This includes the product, so it’s not correct.

- Option C (4 and 48): This includes the product, so it’s not correct.

- Option D (4 and 12): This correctly identifies the numbers being multiplied.

Therefore, the correct answer is:

D. 4 and 12