The number 180 has several pairs of factors, which are numbers that can be multiplied together to equal 180. In this article, we will explore the different pairs of factors of 180, and provide examples and explanations to help you understand this concept.
What are Factors?
Before we dive into the pairs of factors of 180, let's quickly review what factors are. Factors are numbers that can be multiplied together to equal a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers can be multiplied by another number to equal 12.
Understanding Pairs of Factors
A pair of factors is a set of two numbers that can be multiplied together to equal a given number. For example, the pair of factors 2 and 6 can be multiplied together to equal 12 (2 x 6 = 12). Pairs of factors can be written in different ways, such as (2, 6) or (6, 2), but the result is always the same.
Pairs of Factors of 180
Now that we have reviewed the basics of factors and pairs of factors, let's explore the different pairs of factors of 180. The pairs of factors of 180 are:
- (1, 180)
- (2, 90)
- (3, 60)
- (4, 45)
- (5, 36)
- (6, 30)
- (9, 20)
- (10, 18)
- (12, 15)
Each of these pairs can be multiplied together to equal 180. For example, 2 x 90 = 180, and 3 x 60 = 180.
Examples and Applications
Understanding the pairs of factors of 180 can be helpful in a variety of mathematical and real-world applications. For example, if you are trying to find the area of a rectangle with a length of 12 inches and a width of 15 inches, you can use the pair of factors (12, 15) to calculate the area: 12 x 15 = 180 square inches.
Similarly, if you are trying to divide a group of 180 students into smaller groups of equal size, you can use the pairs of factors of 180 to find the different possible group sizes. For example, you could divide the students into groups of 2, 3, 4, 5, 6, 9, 10, 12, or 15 students, depending on the pair of factors you choose.
Conclusion
In conclusion, the pairs of factors of 180 are an important mathematical concept that can be used in a variety of applications. By understanding the different pairs of factors of 180, you can solve problems and make calculations more efficiently. Whether you are a student, teacher, or simply someone who loves math, we hope this article has helped you learn more about the pairs of factors of 180.
Gallery of Factors of 180
What are factors?
+Factors are numbers that can be multiplied together to equal a given number.
What are pairs of factors?
+A pair of factors is a set of two numbers that can be multiplied together to equal a given number.
What are the pairs of factors of 180?
+The pairs of factors of 180 are (1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), and (12, 15).