Last updated on May 26th, 2025
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.
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.
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,..
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.
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
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.
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.
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
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.
While working with multiples of 120, 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:
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?
600 apple trees
To find the total number of apple trees, multiply the number of rows by the number of trees per row.
Number of rows = 5
Number of trees per row = 120
5 × 120 = 600
Therefore, the farmer will have planted 600 apple trees in total.
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?
480 widgets
To find the total number of widgets produced, multiply the number of batches by the number of widgets per batch.
Number of batches = 4
Number of widgets per batch = 120
4 × 120 = 480
Thus, the factory has produced 480 widgets.
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?
360 paintings
To calculate the total number of paintings, multiply the number of sections by the number of paintings per section.
Number of sections = 3
Number of paintings per section = 120
3 × 120 = 360
Therefore, 360 paintings are displayed in total.
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?
720 tickets
To find the total number of tickets sold, multiply the number of booths by the number of tickets each booth can sell per hour.
number of booths = 6
Tickets per booth = 120
6 × 120 = 720
Hence, 720 tickets can be sold in total.
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?
840 pages
To find the total number of pages read, multiply the number of participants by the number of pages each one reads.
Number of participants = 7
Pages per participant = 120
7 × 120 = 840
Therefore, a total of 840 pages are read during the event.
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.
: She has songs for each table which helps her to remember the tables