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Last updated on March 29th, 2025

Multiples of 13

Q: How do you find the multiples of 13?

To find out the multiples of 13, we need to multiply 13 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 13. Multiples of 13 will be larger or equal to 13. 13 × 1 = 13 13 × 2 = 26 13 × 3 = 39 13 × 4 = 52 13 × 5 = 65

Q: What is the LCM of 7 and 13?

LCM of 7 and 13 is 91. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 13 using the listing method, we need to list the multiples of both 7 and 13. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91,... Multiples of 13 are 13, 26, 39, 52, 65, 78, 91, 104, 117, 130,... Here, the smallest common number that appears in both lists is 91. LCM of 7 and 13 = 91.

Q: What are the real-life applications of Multiples of 13?

Multiples of 13 can be helpful in various real-life situations. We can use them for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups

Q: Are multiples of 13 finite or infinite?

All the multiples of 13 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 13. When we calculate 13 × n, if the integer ‘n’ goes on forever, the multiples of 13 also become infinite.

Q: Is there any odd multiple of 13?

Yes, there are odd numbers in the multiples of 13. Because 13 is an odd number, if we multiply an odd number by any number, the product will be an odd number. For example, 13 × 1 = 13 13 × 2 = 26 13 × 3 = 39 13 × 4 = 52 13 × 5 = 65

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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 13.

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.

$Multiples of 13$

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,...

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.

Common Mistakes and How to Avoid Them in Multiples of 13

Multiples of 13 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

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

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?

Explanation

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?

Explanation

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?

Explanation

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?

Explanation

FAQs on Multiples of 13

1.How do you find the multiples of 13?

2.What is the LCM of 7 and 13?

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

4.Are multiples of 13 finite or infinite?

5.Is there any odd multiple of 13?

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.

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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.