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Chapter 1: Problem 11

Identify the factors and the product. $$13 \times 42=546$$

Short Answer

Expert verified
The factors are 13 and 42. The product is 546.

Step by step solution

01

Identify the factors

Look at the given multiplication problem. Here, the numbers being multiplied are 13 and 42. These are the factors.
02

Write down the multiplication

The multiplication operation given is 13 times 42, which can be written as\(13 \times 42\).
03

Calculate the product

Complete the multiplication\(13 \times 42\)to find the product. The product is 546.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

factors
In mathematics, factors are numbers you can multiply together to get another number. In the exercise given, 13 and 42 are the factors of the multiplication equation. Factors are essential in various mathematical operations, especially in multiplication and division. To identify factors, you need to look at the numbers being multiplied in the equation. Here, the factors are clear: they are 13 and 42. Another example of factors can be from a simpler multiplication problem, such as 2 and 3 being factors of 6, because 2 times 3 equals 6. Recognizing factors helps to break down larger problems into manageable parts.
product
The product is the result you get after multiplying two or more numbers. In our example, the product of 13 and 42 is 546. Anytime you multiply numbers, the answer you get is known as the product. Calculating the product involves a few straightforward steps, which include writing down the numbers you are multiplying, performing the multiplication, and then finding the result. For instance, when you multiply 5 and 4, you get the product 20. Remember, no matter how large or small the numbers you are multiplying, the result is always called the product. Practicing this concept with different numbers can help you become more comfortable with finding products.
multiplication
Multiplication is one of the basic arithmetic operations, alongside addition, subtraction, and division. It involves combining equal groups to find the total number. For example, in our exercise, we are asked to multiply 13 by 42. Multiplication can be thought of as repeated addition; in this case, adding 42 together 13 times or adding 13 together 42 times. Here's a simple example to understand it better: multiplying 3 by 4 is equivalent to adding 3 four times (3+3+3+3) or 4 three times (4+4+4), giving you 12 as the product. Practicing multiplication with different sets of factors will help solidify your understanding of this crucial mathematical concept.

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