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Last updated on February 4th, 2025

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Multiples of 120

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Foundation
Intermediate
Advance Topics

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 120.

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What are the Multiples of 120?

Now, let us learn more about multiples of 120. Multiples of 120 are the numbers you get when you multiply 120 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 120 can be denoted as 120 × 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 120 × 1 will give us 120 as the product. Multiples of 120 will be larger or equal to 120.
 

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List of First 20 Multiples of 120

Multiples of 120 include the products of 120 and an integer. Multiples of 120 are divisible by 120 evenly. The first few multiples of 120 are given below:

Now, we know the first few multiples of 120. They are 0, 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200,..

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Operations with Multiples of 120

Understanding the multiples of 120 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 120, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 120:


120, 240, 360, 480, and 600 are the first five multiples of 120. When multiplying 120 from 1 to 5, we get these numbers as the products.  


So, the sum of these multiples is:


120 + 240 + 360 + 480 + 600 = 1800

 

Subtraction of first 5 Multiples of 120:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 120, 240, 360, 480, and 600 are the first five multiples of 120. So, let us calculate it as given below:


120 - 240 = -120
-120 - 360 = -480
-480 - 480 = -960
-960 - 600 = -1560

 

Hence, the result of subtracting the first 5 multiples of 120 is -1560.

 

Average of first 5 Multiples of 120:


To calculate the average, we need to identify the sum of the first 5 multiples of 120, and then divide it by the count, i.e., 5. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 120 is 1800.


120 + 240 + 360 + 480 + 600 = 1800


Next, divide the sum by 5:


1800 ÷ 5 = 360

 

360 is the average of the first 5 multiples of 120.

 

Product of First 5 Multiples of 120:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 120 include: 120, 240, 360, 480, and 600. Now, the product of these numbers is:


120 × 240 × 360 × 480 × 600 = 12,441,600,000,000

 

Division of First 5 Multiples of 120:


While we perform division, we get to know how many times 120 can fit into each of the given multiples. 120, 240, 360, 480, and 600 are the first 5 multiples of 120.


120 ÷ 120 = 1
240 ÷ 120 = 2
360 ÷ 120 = 3
480 ÷ 120 = 4
600 ÷ 120 = 5    

 

The results of dividing the first 5 multiples of 120 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 120

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Multiples of 120 Examples

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Problem 1

A farmer is planning to plant apple trees in his orchard. Each row in his orchard will have 120 apple trees. If he plants 5 rows this year, how many apple trees will he have planted in total?

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Explanation

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Problem 2

A factory produces widgets in batches. Each batch contains 120 widgets. If the factory produces the first four batches, how many widgets have been produced?

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Explanation

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Problem 3

An art gallery is organizing their paintings into sections. Each section can hold 120 paintings. If they fill up 3 sections, how many paintings are displayed in total?

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Explanation

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Problem 4

A music festival is selling tickets. Each ticket booth can sell 120 tickets per hour. If there are 6 booths operating for one hour, how many tickets can be sold in total?

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Explanation

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Problem 5

A library is organizing a read-a-thon event. Each participant reads 120 pages. If there are 7 participants, how many pages are read in total?

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Explanation

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FAQs on Multiples of 120

1.How do you find the multiples of 120?

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2.What is the LCM of 8 and 120?

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3.What are the real-life applications of Multiples of 120?

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4.Are multiples of 120 finite or infinite?

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5.Is there any odd multiples of 120?

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Important Glossaries for Multiples of 120

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 120 include 120, 240, 360, 480, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 120 are the numbers that consist of the number pattern of 120. 

 

  • Even number: An even number refers to any number that can be divisible by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 120 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120 are the divisors of 120.

 

  • LCM (Least Common Multiple): The smallest multiple that two or more numbers share. The LCM of 8 and 120 is 120.
     
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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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Fun Fact

: She has songs for each table which helps her to remember the tables

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