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