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Last updated on March 28th, 2025

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Multiples of 123

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Foundation
Intermediate
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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 123.

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What are the Multiples of 123?

Now, let us learn more about multiples of 123. Multiples of 123 are the numbers you get when you multiply 123 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 123 can be denoted as 123 × 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 123 × 1 will give us 123 as the product. Multiples of 123 will be larger or equal to 123.
multiples of 123

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List of First 20 Multiples of 123

Multiples of 123 include the products of 123 and an integer. Multiples of 123 are divisible by 123 evenly. The first few multiples of 123 are given below:
 

TABLE OF 123 (1-10)

123 x 1 = 123

123 x 6 = 738

123 x 2 = 246

123 x 7 = 861

123 x 3 = 369

123 x 8 = 984

123 x 4 = 492

123 x 9 = 1107

123 x 5 = 615

123 x 10 = 1230

 

TABLE OF 123 (11-20)

123 x 11 = 1353

123 x 16 = 1968

123 x 12 = 1476

123 x 17 = 2109

123 x 13 = 1599

123 x 18 = 2214

123 x 14 = 1722

123 x 19 = 2337

123 x 15 = 1845

123 x 20 = 2460

 


Now, we know the first few multiples of 123. They are 0, 123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230,...

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Operations with Multiples of 123

Understanding the multiples of 123 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 123, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 123:


123, 246, 369, 492, and 615 are the first five multiples of 123. When multiplying 123 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
123 + 246 + 369 + 492 + 615 = 1845
When we add the first 5 multiples of 123, the answer will be 1845.

 

Subtraction of first 5 Multiples of 123:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 123, 246, 369, 492, and 615 are the first five multiples of 123. So, let us calculate it as given below:
123 - 246 = -123
-123 - 369 = -492
-492 - 492 = -984
-984 - 615 = -1599
Hence, the result of subtracting the first 5 multiples of 123 is -1599.

 

Average of first 5 Multiples of 123:


To calculate the average, we need to identify the sum of the first 5 multiples of 123 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 123 is 1845.
123 + 246 + 369 + 492 + 615 = 1845
Next, divide the sum by 5:
1845 ÷ 5 = 369
369 is the average of the first 5 multiples of 123.

 

Product of First 5 Multiples of 123:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 123 include: 123, 246, 369, 492, and 615. Now, the product of these numbers is:
123 × 246 × 369 × 492 × 615 = 5,637,283,480
The product of the first 5 multiples of 123 is 5,637,283,480.

 

Division of First 5 Multiples of 123:


While we perform division, we get to know how many times 123 can fit into each of the given multiples. 123, 246, 369, 492, and 615 are the first 5 multiples of 123.
123 ÷ 123 = 1
246 ÷ 123 = 2
369 ÷ 123 = 3
492 ÷ 123 = 4
615 ÷ 123 = 5    
The results of dividing the first 5 multiples of 123 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 123

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Multiples of 123 Examples

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Problem 1

Alice is organizing a series of workshops. Each workshop requires 123 chairs. If she plans to conduct 5 workshops, how many chairs will she need in total?

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Explanation

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Problem 2

In a book fair, each stall is allocated a space that can hold up to 123 books. If there are 4 stalls, what is the maximum number of books that can be displayed in the fair?

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Explanation

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Problem 3

Tom is setting up a new library section and each shelf can hold 123 books. If there are 3 shelves in the section, how many books can the new section accommodate?

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Explanation

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Problem 4

In a science exhibition, each project requires 123 units of material. If there are 6 projects, how many units of material are needed in total?

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Explanation

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Problem 5

A company produces 123 gadgets every hour. How many gadgets will be produced in 7 hours?

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Explanation

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FAQs on Multiples of 123

1.How do you find the multiples of 123?

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2.What is the LCM of 7 and 123?

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3.What are the real-life applications of Multiples of 123?

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4.Are multiples of 123 finite or infinite?

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5.Is there any odd multiples of 123?

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Important Glossaries for Multiples of 123

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 123 include 123, 246, 369, 492, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 123 are the numbers that consist of the number pattern of 123.

 

  • Odd number: An odd number is any number not divisible by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 123 are odd numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 41, and 123 are the divisors of 123.

 

  • LCM (Least Common Multiple): The smallest multiple that two or more numbers have in common. For example, the LCM of 7 and 123 is 861.
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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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