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Last updated on February 11th, 2025

Multiples of 144

Q: How do you find the multiples of 144?

To find out the multiples of 144, we need to multiply 144 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 144. Multiples of 144 will be larger or equal to 144. 144 × 1 = 144 144 × 2 = 288 144 × 3 = 432 144 × 4 = 576 144 × 5 = 720

Q: What is the LCM of 12 and 144?

LCM of 12 and 144 is 144. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 12 and 144 using the listing method, we need to list the multiples of both 12 and 144. Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144,… Multiples of 144 are 144, 288, 432, 576, 720, 864, 1008, 1152,… Here, the smallest common number that appears in both lists is 144. LCM of 12 and 144 = 144.

Q: What are the real-life applications of Multiples of 144?

Multiples of 144 can be helpful in various real-life situations. We can use it for calculating the area of large spaces, organizing quantities into bulk shipments, and designing layouts in construction projects.

Q: Are multiples of 144 finite or infinite?

All the multiples of 144 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 144. When we calculate 144 × n, if the integer ‘n’ goes on forever, the multiples of 144 also become infinite.

Q: Is there any odd multiple of 144?

No, there are no odd numbers in the multiple of 144. Because 144 is an even number. If we multiply any even number by any number, we will get an even number as the product. For example, 144 × 1 = 144 144 × 2 = 288 144 × 3 = 432 144 × 4 = 576 144 × 5 = 720

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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. $multiples of 144$

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

Multiples of 144 Examples

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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?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

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?

Explanation

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?

Explanation

Problem 4

A factory produces 144 bicycles every week. After operating for 10 weeks, how many bicycles has the factory produced in total?

Explanation

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?

Explanation

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

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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.