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 Icon1245 Learners

Last updated on March 28th, 2025

Math Whiteboard Illustration

Multiples of 198

Professor Greenline Explaining Math Concepts
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 198.

Professor Greenline from BrightChamps

What are the Multiples of 198?

Now, let us learn more about multiples of 198. Multiples of 198 are the numbers you get when you multiply 198 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 198 can be denoted as 198 × 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 198 × 1 will give us 198 as the product. Multiples of 198 will be larger or equal to 198.multiples of 198

Professor Greenline from BrightChamps

List of First 20 Multiples of 198

Multiples of 198 include the products of 198 and an integer. Multiples of 198 are divisible by 198 evenly. The first few multiples of 198 are given below:

 

TABLE OF 198 (1-10)

198 x 1 = 198

198 x 6 = 1188

198 x 2 = 396

198 x 7 = 1386

198 x 3 = 594

198 x 8 = 1584

198 x 4 = 792

198 x 9 = 1782

198 x 5 = 990

198 x 10 = 1980

 

TABLE OF 198 (11-20)

198 x 11 = 2178

198 x 16 = 3168

198 x 12 = 2376

198 x 17 = 3366

198 x 13 = 2574

198 x 18 = 3564

198 x 14 = 2772

198 x 19 = 3762

198 x 15 = 2970

198 x 20 = 3960

 

Now, we know the first few multiples of 198. They are 0, 198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980,...

Professor Greenline from BrightChamps

Operations with Multiples of 198

Understanding the multiples of 198 helps solve mathematical problems and boosts our multiplication and division skills. When working with multiples of 198, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 198:  


198, 396, 594, 792, and 990 are the first five multiples of 198. When multiplying 198 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:

 
198 + 396 + 594 + 792 + 990 = 2970  


When we add the first 5 multiples of 198 the answer will be 2970.

 

Subtraction of first 5 Multiples of 198:  


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 198, 396, 594, 792, and 990 are the first five multiples of 198. So, let us calculate it as given below:  


198 - 396 = -198  
-198 - 594 = -792  
-792 - 792 = -1584  
-1584 - 990 = -2574  


Hence, the result of subtracting the first 5 multiples of 198 is -2574.

 

Average of first 5 Multiples of 198:  


To calculate the average, we need to identify the sum of the first 5 multiples of 198, 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 198 is 2970.  
198 + 396 + 594 + 792 + 990 = 2970  


Next, divide the sum by 5:  


2970 ÷ 5 = 594  


594 is the average of the first 5 multiples of 198.

 

Product of First 5 Multiples of 198:  


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 198 include: 198, 396, 594, 792, and 990. Now, the product of these numbers is:

 
198 × 396 × 594 × 792 × 990 = 365,287,102,080  


The product of the first 5 multiples of 198 is 365,287,102,080.

 

Division of First 5 Multiples of 198:  


While we perform division, we get to know how many times 198 can fit into each of the given multiples. 198, 396, 594, 792, and 990 are the first 5 multiples of 198.

 
198 ÷ 198 = 1  
396 ÷ 198 = 2  
594 ÷ 198 = 3  
792 ÷ 198 = 4  
990 ÷ 198 = 5  


The results of dividing the first 5 multiples of 198 are: 1, 2, 3, 4, and 5.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Multiples of 198

Max from BrightChamps Saying "Hey"

Multiples of 198 Examples

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

Problem 1

n a factory, machines are producing widgets in batches. Each machine produces 198 widgets in a cycle, and there are 5 machines working simultaneously. If the machines complete 3 cycles in a day, how many widgets are produced in total at the end of the day?

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

A city council is planning to plant trees along a new highway. They plan to plant trees in groups that are multiples of 198. If they plant 198 trees in the first section, 396 in the second, and 594 in the third, how many trees have been planted 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

In a library, books are organized in sets. Each set contains 198 books. If there are 7 sets of books, how many books does the library have 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 4

A marathon race is being organized, and the participants are grouped into waves. Each wave consists of 198 runners. If there are 4 waves, how many runners are participating in the marathon?

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

A concert venue sells tickets in sections, with each section having seats that are a multiple of 198. If one section has 198 seats, another has 396 seats, and a third has 594 seats, how many seats are available 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 198

1.How do you find the multiples of 198?

Math FAQ Answers Dropdown Arrow

2.What is the LCM of 11 and 18?

Math FAQ Answers Dropdown Arrow

3.What are the real-life applications of Multiples of 198?

Math FAQ Answers Dropdown Arrow

4.Are multiples of 198 finite or infinite?

Math FAQ Answers Dropdown Arrow

5.Is there any odd multiple of 198?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Multiples of 198

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 198 include 198, 396, 594, 792, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 198 are the numbers that consist of the number pattern of 198.
     
  • 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 198 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, and 198 are the divisors of 198.
     
  • Factor: A factor is a number that divides another number completely without leaving a remainder. The factors of 198 include 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, and 198.
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