Understanding Multiples of 12

Oct 13, 2025 by miodeya.com 13 views

Introduction

In mathematics, a multiple of a number is the product of that number and an integer. In this article, we will focus on finding the multiples of 12 between 20 and 150. This involves identifying the numbers that can be divided by 12 without leaving a remainder, and then listing them out in a comprehensive manner.

Understanding Multiples of 12

To begin with, let's understand what multiples of 12 are. Multiples of 12 are numbers that can be expressed as 12 times an integer. For example, 24 is a multiple of 12 because it can be expressed as 12 times 2 (12 * 2 = 24). Similarly, 36 is also a multiple of 12 because it can be expressed as 12 times 3 (12 * 3 = 36).

Finding the Multiples of 12 Between 20 and 150

To find the multiples of 12 between 20 and 150, we need to start by finding the first multiple of 12 that is greater than or equal to 20. We can do this by dividing 20 by 12 and rounding up to the nearest whole number. This gives us 2, which means that the first multiple of 12 greater than or equal to 20 is 12 * 2 = 24.

Next, we need to find the last multiple of 12 that is less than or equal to 150. We can do this by dividing 150 by 12 and rounding down to the nearest whole number. This gives us 12, which means that the last multiple of 12 less than or equal to 150 is 12 * 12 = 144.

Listing the Multiples of 12 Between 20 and 150

Now that we have found the first and last multiples of 12 between 20 and 150, we can list out all the multiples of 12 in between. Here is the list:

24 (12 * 2)
36 (12 * 3)
48 (12 * 4)
60 (12 * 5)
72 (12 * 6)
84 (12 * 7)
96 (12 * 8)
108 (12 * 9)
120 (12 * 10)
132 (12 * 11)
144 (12 * 12)

Conclusion

In this article, we have listed out the multiples of 12 between 20 and 150. We started by understanding what multiples of 12 are, and then found the first and last multiples of 12 between 20 and 150. Finally, we listed out all the multiples of 12 in between. This comprehensive list will be helpful for anyone who needs to find the multiples of 12 between 20 and 150.

Additional Resources

For more information on multiples of numbers, you can check out the following resources:

Frequently Asked Questions

Here are some frequently asked questions about multiples of 12:

Q: What is the first multiple of 12 greater than or equal to 20? A: The first multiple of 12 greater than or equal to 20 is 24.
Q: What is the last multiple of 12 less than or equal to 150? A: The last multiple of 12 less than or equal to 150 is 144.
Q: How do I find the multiples of 12 between 20 and 150? A: To find the multiples of 12 between 20 and 150, you can start by finding the first multiple of 12 greater than or equal to 20, and then find the last multiple of 12 less than or equal to 150.
Multiples of 12: A Comprehensive Q&A Guide =====================================================

Introduction

In our previous article, we listed out the multiples of 12 between 20 and 150. However, we understand that there may be many questions and doubts that readers may have regarding multiples of 12. In this article, we will address some of the most frequently asked questions about multiples of 12.

Q&A Guide

Q: What is a multiple of a number?

A: A multiple of a number is the product of that number and an integer. For example, 24 is a multiple of 12 because it can be expressed as 12 times 2 (12 * 2 = 24).

Q: How do I find the multiples of a number?

A: To find the multiples of a number, you can start by finding the first multiple of that number greater than or equal to a given number, and then find the last multiple of that number less than or equal to a given number.

Q: What is the first multiple of 12 greater than or equal to 20?

A: The first multiple of 12 greater than or equal to 20 is 24.

Q: What is the last multiple of 12 less than or equal to 150?

A: The last multiple of 12 less than or equal to 150 is 144.

Q: How do I find the multiples of 12 between 20 and 150?

A: To find the multiples of 12 between 20 and 150, you can start by finding the first multiple of 12 greater than or equal to 20, and then find the last multiple of 12 less than or equal to 150. The list of multiples of 12 between 20 and 150 is as follows:

24 (12 * 2)
36 (12 * 3)
48 (12 * 4)
60 (12 * 5)
72 (12 * 6)
84 (12 * 7)
96 (12 * 8)
108 (12 * 9)
120 (12 * 10)
132 (12 * 11)
144 (12 * 12)

Q: What is the formula for finding the multiples of a number?

A: The formula for finding the multiples of a number is:

Multiple = Number * Integer

For example, to find the multiples of 12, you can use the formula:

Multiple = 12 * Integer

Q: Can I use a calculator to find the multiples of a number?

A: Yes, you can use a calculator to find the multiples of a number. Simply enter the number and the integer, and the calculator will give you the multiple.

Q: How do I use a calculator to find the multiples of a number?

A: To use a calculator to find the multiples of a number, follow these steps:

Enter the number (in this case, 12).
Enter the integer (in this case, 2).
Press the multiplication button (usually marked as * or x).
The calculator will give you the multiple (in this case, 24).

Q: Can I use a spreadsheet to find the multiples of a number?

A: Yes, you can use a spreadsheet to find the multiples of a number. Simply enter the number and the integer in separate cells, and the spreadsheet will give you the multiple.

Q: How do I use a spreadsheet to find the multiples of a number?

A: To use a spreadsheet to find the multiples of a number, follow these steps:

Enter the number (in this case, 12) in a cell.
Enter the integer (in this case, 2) in a cell.
Use the multiplication formula (usually marked as =A1*B1) to find the multiple.
The spreadsheet will give you the multiple (in this case, 24).