BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon1242 Learners

Last updated on March 28th, 2025

Math Whiteboard Illustration

Multiples of 126

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

In math, multiples are the products we get when 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 126.

Professor Greenline from BrightChamps

What are the Multiples of 126?

Now, let us learn more about multiples of 126. Multiples of 126 are the numbers you get when you multiply 126 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 126 can be denoted as 126 × 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 126 × 1 will give us 126 as the product. Multiples of 126 will be larger or equal to 126.

multiples of 126

  

Professor Greenline from BrightChamps

List of First 20 Multiples of 126

Multiples of 126 include the products of 126 and an integer. Multiples of 126 are divisible by 126 evenly. The first few multiples of 126 are given below:

 

TABLE OF 126 (1-10)

126 x 1 = 126

126 x 6 = 756

126 x 2 = 252

126 x 7 = 882

126 x 3 = 378

126 x 8 = 1008

126 x 4 = 504

126 x 9 = 1134

126 x 5 = 630

126 x 10 = 1260

 

TABLE OF 126 (11-20)

126 x 11 = 1386

126 x 16 = 2016

126 x 12 = 1512

126 x 17 = 2142

126 x 13 = 1638

126 x 18 = 2268

126 x 14 = 1764

126 x 19 = 2394

126 x 15 = 1890

126 x 20 = 2520

 

Now, we know the first few multiples of 126. They are 0, 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260,...

Professor Greenline from BrightChamps

Operations with Multiples of 126

Understanding the multiples of 126 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 126, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 126:


126, 252, 378, 504, and 630 are the first five multiples of 126. When multiplying 126 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
126 + 252 + 378 + 504 + 630 = 1890
When we add the first 5 multiples of 126, the answer will be 1890.  

 

Subtraction of first 5 Multiples of 126:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 126, 252, 378, 504, and 630 are the first five multiples of 126. So, let us calculate it as given below:
126 - 252 = -126
-126 - 378 = -504
-504 - 504 = -1008
-1008 - 630 = -1638
Hence, the result of subtracting the first 5 multiples of 126 is -1638.

 

Average of first 5 Multiples of 126:


To calculate the average, we need to identify the sum of the first 5 multiples of 126, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 126 is 1890.
126 + 252 + 378 + 504 + 630 = 1890
Next, divide the sum by 5:
1890 ÷ 5 = 378
378 is the average of the first 5 multiples of 126.

 

Product of First 5 Multiples of 126:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 126 include: 126, 252, 378, 504, and 630. Now, the product of these numbers is:
126 × 252 × 378 × 504 × 630 = 3,168,907,776,000
The product of the first 5 multiples of 126 is 3,168,907,776,000.

 

Division of First 5 Multiples of 126:


While we perform division, we get to know how many times 126 can fit into each of the given multiples. 126, 252, 378, 504, and 630 are the first 5 multiples of 126.
126 ÷ 126 = 1
252 ÷ 126 = 2
378 ÷ 126 = 3
504 ÷ 126 = 4
630 ÷ 126 = 5    
The results of dividing the first 5 multiples of 126 are: 1, 2, 3, 4, and 5.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Multiples of 126

Max from BrightChamps Saying "Hey"

Multiples of 126 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A delivery company packs large boxes with 126 identical items each. If the company delivers 5 trucks, each fully loaded with these boxes, how many items are delivered in total?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

Question 2: A concert venue arranges seats in sections where each section contains exactly 126 seats. If three sections are filled, how many seats are occupied in total?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A school library organizes its collection into volumes, with each volume containing 126 pages. How many pages are there in total if there are 4 such volumes?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A manufacturing plant produces 126 gadgets every hour. How many gadgets will they produce in 7 hours?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

An art exhibition has paintings arranged in rows, with each row displaying 126 paintings. If there are 6 such rows, how many paintings are exhibited in total?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Multiples of 126

1.How do you find the multiples of 126?

Math FAQ Answers Dropdown Arrow

2.What is the LCM of 7 and 126?

Math FAQ Answers Dropdown Arrow

3.What are the real-life applications of Multiples of 126?

Math FAQ Answers Dropdown Arrow

4.Are multiples of 126 finite or infinite

Math FAQ Answers Dropdown Arrow

5.Is there any odd multiple of 126?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossary for Multiples of 126

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 126 include 126, 252, 378, 504, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 126 are the numbers that consist of the number pattern of 126.

 

  • 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 126 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126 are the divisors of 126.

 

  • LCM: The Least Common Multiple is the smallest multiple that is exactly divisible by each number of a given set. The LCM of 7 and 126 is 126.
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom