Breaking Apart 10 to Find Another Factor Pair

Oct 13, 2025 by talynt.org 23 views

Introduction

In mathematics, factor pairs are an essential concept that helps us understand the relationship between numbers. A factor pair of a number is a pair of numbers that, when multiplied together, result in the original number. In this article, we will explore the factor pairs of 30, a relatively small but interesting number. We will break apart the number 10 to find another factor pair of 30 and complete the sentence.

What are Factor Pairs?

A factor pair of a number is a pair of numbers that, when multiplied together, result in the original number. For example, 3 and 10 are a factor pair of 30 because $$30 = 3 \times 10$$. This means that 3 and 10 are both factors of 30, and when multiplied together, they result in 30.

Breaking Apart 10 to Find Another Factor Pair

Now, let's break apart the number 10 to find another factor pair of 30. We can start by finding the factors of 10. The factors of 10 are 1, 2, 5, and 10. We can use these factors to find another factor pair of 30.

Finding the Factors of 30

To find the factors of 30, we can start by listing the numbers that divide 30 without leaving a remainder. These numbers are 1, 2, 3, 5, 6, 10, 15, and 30. We can use these factors to find another factor pair of 30.

Using the Factors to Find Another Factor Pair

Now that we have the factors of 30, we can use them to find another factor pair. We can start by looking for a pair of factors that, when multiplied together, result in 30. One possible pair is 6 and 5, because $$30 = 6 \times 5$$. This means that 6 and 5 are both factors of 30, and when multiplied together, they result in 30.

Completing the Sentence

Now that we have found another factor pair of 30, we can complete the sentence. The sentence is: $\square$ and $\square$ are a factor pair of 30. We can fill in the blanks with the numbers 6 and 5, because they are a factor pair of 30.

Conclusion

In this article, we explored the factor pairs of 30 and broke apart the number 10 to find another factor pair. We found that 6 and 5 are a factor pair of 30, and when multiplied together, they result in 30. This demonstrates the importance of understanding factor pairs in mathematics and how they can be used to solve problems.

Understanding Factor Pairs in Real-World Applications

Factor pairs have many real-world applications, including:

Shopping: When shopping for items, we often need to find the factor pairs of prices to determine the total cost.
Cooking: When cooking, we often need to find the factor pairs of ingredients to determine the total amount needed.
Science: In science, factor pairs are used to understand the relationships between numbers and to solve problems.

Tips for Understanding Factor Pairs

Here are some tips for understanding factor pairs:

Start with simple numbers: Begin with simple numbers, such as 1, 2, 3, and 4, to understand the concept of factor pairs.
Use real-world examples: Use real-world examples, such as shopping and cooking, to understand how factor pairs are used in everyday life.
Practice, practice, practice: Practice finding factor pairs to become more comfortable with the concept.

Conclusion

Introduction

In our previous article, we explored the concept of factor pairs and how they can be used to understand the relationships between numbers. In this article, we will answer some frequently asked questions about factor pairs to help you better understand this concept.

Q: What is a factor pair?

A: A factor pair of a number is a pair of numbers that, when multiplied together, result in the original number. For example, 3 and 10 are a factor pair of 30 because $$30 = 3 \times 10$$.

Q: How do I find the factor pairs of a number?

A: To find the factor pairs of a number, you can start by listing the numbers that divide the number without leaving a remainder. Then, look for pairs of numbers that, when multiplied together, result in the original number.

Q: What are some real-world applications of factor pairs?

A: Factor pairs have many real-world applications, including:

Shopping: When shopping for items, we often need to find the factor pairs of prices to determine the total cost.
Cooking: When cooking, we often need to find the factor pairs of ingredients to determine the total amount needed.
Science: In science, factor pairs are used to understand the relationships between numbers and to solve problems.

Q: How can I use factor pairs to solve problems?

A: You can use factor pairs to solve problems by breaking down a number into its factors and then using those factors to solve the problem. For example, if you need to find the total cost of an item that costs $30, you can break down the number 30 into its factors (3 and 10) and then use those factors to find the total cost.

Q: What are some tips for understanding factor pairs?

A: Here are some tips for understanding factor pairs:

Start with simple numbers: Begin with simple numbers, such as 1, 2, 3, and 4, to understand the concept of factor pairs.
Use real-world examples: Use real-world examples, such as shopping and cooking, to understand how factor pairs are used in everyday life.
Practice, practice, practice: Practice finding factor pairs to become more comfortable with the concept.

Q: Can you give me some examples of factor pairs?

A: Here are some examples of factor pairs:

3 and 10 are a factor pair of 30: $$30 = 3 \times 10$$
6 and 5 are a factor pair of 30: $$30 = 6 \times 5$$
4 and 7 are a factor pair of 28: $$28 = 4 \times 7$$

Q: How can I find the factor pairs of a larger number?

A: To find the factor pairs of a larger number, you can use a calculator or a computer program to find the factors of the number. Then, look for pairs of numbers that, when multiplied together, result in the original number.

Conclusion

In conclusion, factor pairs are an essential concept in mathematics that helps us understand the relationships between numbers. By answering these frequently asked questions, we hope to have provided a better understanding of factor pairs and how they can be used to solve problems.