191 LearnersLast updated on May 26th, 2025
Multiples of 144
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 144.
What are the Multiples of 144?
Now, let us learn more about multiples of 144. Multiples of 144 are the numbers you get when you multiply 144 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 144 can be denoted as 144 × n, where 'n' represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 144 × 1 will give us 144 as the product. Multiples of 144 will be larger or equal to 144.
List of First 20 Multiples of 144
Multiples of 144 include the products of 144 and an integer. Multiples of 144 are divisible by 144 evenly. The first few multiples of 144 are given below:
| TABLE OF 144 (1-10) | |
|---|---|
|
144 x 1 = 144 |
144 x 6 = 864 |
|
144 x 2 = 288 |
144 x 7 = 1008 |
|
144 x 3 = 432 |
144 x 8 = 1152 |
|
144 x 4 = 576 |
144 x 9 = 1296 |
|
144 x 5 = 720 |
144 x 10 = 1440 |
| TABLE OF 144 (11-20) | |
|---|---|
|
144 x 11 = 1584 |
144 x 16 = 2304 |
|
144 x 12 = 1728 |
144 x 17 = 2448 |
|
144 x 13 = 1872 |
144 x 18 = 2592 |
|
144 x 14 = 2016 |
144 x 19 = 2736 |
|
144 x 15 = 2160 |
144 x 20 = 2880 |
Now, we know the first few multiples of 144. They are 0, 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440,...
Operations with Multiples of 144
Understanding the multiples of 144 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 144, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 144:
144, 288, 432, 576, and 720 are the first five multiples of 144. When multiplying 144 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
144 + 288 + 432 + 576 + 720 = 2160
When we add the first 5 multiples of 144, the answer will be 2160.
Subtraction of First 5 Multiples of 144:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 144, 288, 432, 576, and 720 are the first five multiples of 144. So, let us calculate it as given below:
144 - 288 = -144
-144 - 432 = -576
-576 - 576 = -1152
-1152 - 720 = -1872
Hence, the result of subtracting the first 5 multiples of 144 is -1872.
Average of First 5 Multiples of 144:
To calculate the average, we need to identify the sum of the first 5 multiples of 144 and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 144 is 2160.
144 + 288 + 432 + 576 + 720 = 2160
Next, divide the sum by 5:
2160 ÷ 5 = 432
432 is the average of the first 5 multiples of 144.
Product of First 5 Multiples of 144:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 144 include: 144, 288, 432, 576, and 720. Now, the product of these numbers is:
144 × 288 × 432 × 576 × 720 = 27,069,229,056,000
The product of the first 5 multiples of 144 is .
Division of First 5 Multiples of 144:
While we perform division, we get to know how many times 144 can fit into each of the given multiples. 144, 288, 432, 576, and 720 are the first 5 multiples of 144.
144 ÷ 144 = 1
288 ÷ 144 = 2
432 ÷ 144 = 3
576 ÷ 144 = 4
720 ÷ 144 = 5
The results of dividing the first 5 multiples of 144 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 144
While working with multiples of 144, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:
Mistake 1
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 144. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number.
Multiples of 144 refer to the products we get while multiplying 144 with other numbers. For example, multiples of 144 include 0, 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440….
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. When 144 is divided by these numbers, the remainder will be zero. These are the factors of 144 meaning that these numbers can divide 144 without any remainder.
Factors of 144:
144 ÷ 1 = 144
144 ÷ 2 = 72
144 ÷ 3 = 48
144 ÷ 4 = 36
Multiples of 144 Examples
Problem 1
Emily is hosting a series of art workshops. Each workshop she organizes uses 144 sheets of drawing paper. If she holds workshops every month for 6 months, how many sheets of drawing paper will be used in total?
864 sheets of drawing paper
Explanation
To find the total number of sheets used, we multiply the number of sheets used per workshop by the number of workshops held.
Sheets used per workshop = 144
Number of months = 6
144 × 6 = 864
They will use 864 sheets of drawing paper after 6 months.
Problem 2
In a charity event, boxes of food supplies are packed in multiples of 144. The first batch contains 144 boxes, the second batch contains 288 boxes, and the third batch contains 432 boxes. How many boxes are packed in total for the event?
864 boxes
Explanation
We identify the multiples of 144 for each batch:
First batch = 144
Second batch = 288
Third batch = 432
Add them together:
144 + 288 + 432 = 864
Therefore, a total of 864 boxes are packed for the event.
Problem 3
At a music festival, the organizers plan to distribute free T-shirts. Each shipment contains 144 T-shirts. If they receive shipments for 5 consecutive weeks, how many T-shirts do they have in total?
720 T-shirts
Explanation
To find the total number of T-shirts, multiply the number of T-shirts per shipment by the number of shipments.
T-shirts per shipment = 144
Number of shipments = 5
144 × 5 = 720
So, they have 720 T-shirts in total.
Problem 4
A factory produces 144 bicycles every week. After operating for 10 weeks, how many bicycles has the factory produced in total?
1,440 bicycles
Explanation
Calculate the total production by multiplying the weekly production by the number of weeks.
Bicycles produced per week = 144
Number of weeks = 10
144 × 10 = 1,440
Therefore, the factory has produced 1,440 bicycles after 10 weeks.
Problem 5
Linda is stocking her art supplies shop. She receives shipments in multiples of 144 paints each time. Her first shipment has 144 paints, the second has 288, and the third has 432. How many paints are there in total?
864 paints
Explanation
Add the number of paints in each shipment:
First shipment = 144
Second shipment = 288
Third shipment = 432
Total paints:
144 + 288 + 432 = 864
Therefore, a total of 864 paints are there in the shop.
FAQs on Multiples of 144
1.How do you find the multiples of 144?
2.What is the LCM of 12 and 144?
3.What are the real-life applications of Multiples of 144?
4.Are multiples of 144 finite or infinite?
5.Is there any odd multiple of 144?
Important Glossary for Multiples of 144
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 144 include 144, 288, 432, 576, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 144 are the numbers that consist of the number pattern of 144.
- Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 144 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 8, 9, 12, and 144 are the divisors of 144.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. It helps in solving problems involving the addition and subtraction of fractions with different denominators.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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: She has songs for each table which helps her to remember the tables
