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 Icon108 Learners

Last updated on March 29th, 2025

Math Whiteboard Illustration

Multiples of 13

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 13.

Professor Greenline from BrightChamps

What are the Multiples of 13?

Now, let us learn more about multiples of 13. Multiples of 13 are the numbers you get when you multiply 13 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 13 can be denoted as 13 × 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 13 × 1 will give us 13 as the product. Multiples of 13 will be larger or equal to 13. 

Multiples of 13
 

Professor Greenline from BrightChamps

List of First 20 Multiples of 13

Multiples of 13 include the products of 13 and an integer. Multiples of 13 are divisible by 13 evenly. The first few multiples of 13 are given below:

 

TABLE OF 13 (1-10)

13 x 1 = 13

13 x 6 = 78

13 x 2 = 26

13 x 7 = 91

13 x 3 = 39

13 x 8 = 104

13 x 4 = 52

13 x 9 = 117

13 x 5 = 65

13 x 10 = 130

 

TABLE OF 13 (11-20)

13 x 11 = 143

13 x 16 = 208

13 x 12 = 156

13 x 17 = 221

13 x 13 = 169

13 x 18 = 234

13 x 14 = 182

13 x 19 = 247

13 x 15 = 195

13 x 20 = 260

 

Now, we know the first few multiples of 13. They are 0, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130,...
 

Professor Greenline from BrightChamps

Operations with Multiples of 13

Understanding the multiples of 13 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 13, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division. 

 

Sum of first 5 Multiples of 13:

 

13, 26, 39, 52, and 65 are the first five multiples of 13. When multiplying 13 from 1 to 5, we get these numbers as the products.

 
So, the sum of these multiples is:


13 + 26 + 39 + 52 + 65 = 195


When we add the first 5 multiples of 13, the answer will be 195.

 

Subtraction of first 5 Multiples of 13:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 13, 26, 39, 52, and 65 are the first five multiples of 13. So, let us calculate it as given below:


13 - 26 = -13
-13 - 39 = -52
-52 - 52 = -104
-104 - 65 = -169


Hence, the result of subtracting the first 5 multiples of 13 is -169.

 

Average of first 5 Multiples of 13:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 13, 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 13 is 195.


13 + 26 + 39 + 52 + 65 = 195


Next, divide the sum by 5:


195 ÷ 5 = 39


39 is the average of the first 5 multiples of 13.

 

Product of First 5 Multiples of 13:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 13 include: 13, 26, 39, 52, and 65. Now, the product of these numbers is:


13 × 26 × 39 × 52 × 65 = 57,179,580


The product of the first 5 multiples of 13 is 57,179,580.

 

Division of First 5 Multiples of 13:

 

While we perform division, we get to know how many times 13 can fit into each of the given multiples. 13, 26, 39, 52, and 65 are the first 5 multiples of 13.


13 ÷ 13 = 1
26 ÷ 13 = 2
39 ÷ 13 = 3
52 ÷ 13 = 4
65 ÷ 13 = 5    


The results of dividing the first 5 multiples of 13 are: 1, 2, 3, 4, and 5.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Multiples of 13

Max from BrightChamps Saying "Hey"

Multiples of 13 Examples

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

Problem 1

A group of friends is participating in a charity walkathon where each participant pledges to walk 13 miles. If 5 friends join the walkathon and each completes the distance, how many total miles will they walk together?

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

In an art project, students are tasked with creating sculptures using blocks. Each sculpture requires 13 blocks. If the students make the first three sculptures using the first three multiples of 13 blocks respectively, how many blocks are used for each sculpture?

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 music teacher has 13 musical instruments in each section of the orchestra. If there are 4 sections in total, how many instruments are there?

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

During a gardening project, each volunteer plants 13 seeds in a row. If there are 6 rows in the garden, how many seeds are 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 5

A librarian is shelving books in a library. The first shelf holds 13 books, the second shelf holds 26 books, and the third shelf holds 39 books. How many books are there on all three shelves?

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 13

1.How do you find the multiples of 13?

Math FAQ Answers Dropdown Arrow

2.What is the LCM of 7 and 13?

Math FAQ Answers Dropdown Arrow

3.What are the real-life applications of Multiples of 13?

Math FAQ Answers Dropdown Arrow

4.Are multiples of 13 finite or infinite?

Math FAQ Answers Dropdown Arrow

5.Is there any odd multiple of 13?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Multiples of 13

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 13 include 13, 26, 39, 52, etc. 
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 13 are the numbers that consist of the number pattern of 13. 
     
  • Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 13 are odd numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 13 are the divisors of 13.
     
  • LCM (Least Common Multiple): The smallest multiple that two or more numbers share. For example, the LCM of 7 and 13 is 91.
     
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