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Last updated on May 26th, 2025

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Multiples of 31

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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 31.

Multiples of 31 for Qatari Students
Professor Greenline from BrightChamps

What are the Multiples of 31?

Now, let us learn more about multiples of 31. Multiples of 31 are the numbers you get when you multiply 31 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 31 can be denoted as 31 × 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 31 × 1 will give us 31 as the product. Multiples of 31 will be larger or equal to 31.Multiples of 31

Professor Greenline from BrightChamps

List of First 20 Multiples of 31

Multiples of 31 include the products of 31 and an integer. Multiples of 31 are divisible by 31 evenly. The first few multiples of 31 are given below:

 

TABLE OF 31 (1-10)

31 x 1 = 31

31 x 6 = 186

31 x 2 = 62

31 x 7 = 217

31 x 3 = 93

31 x 8 = 248

31 x 4 = 124

31 x 9 = 279

31 x 5 = 155

31 x 10 = 310

 

TABLE OF 31 (11-20)

31 x 11 = 341

31 x 16 = 496

31 x 12 = 372

31 x 17 = 527

31 x 13 = 403

31 x 18 = 558

31 x 14 = 434

31 x 19 = 589

31 x 15 = 465

31 x 20 = 620

 

Now, we know the first few multiples of 31. They are 0, 31, 62, 93, 124, 155, 186, 217, 248, 279, 310,...

Professor Greenline from BrightChamps

Operations with Multiples of 31

Understanding the multiples of 31 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 31, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 31:

 

31, 62, 93, 124, and 155 are the first five multiples of 31. When multiplying 31 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:


31 + 62 + 93 + 124 + 155 = 465  


When we add the first 5 multiples of 31, the answer will be 465.

 

Subtraction of first 5 Multiples of 31:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 31, 62, 93, 124, and 155 are the first five multiples of 31. So, let us calculate it as given below:


31 - 62 = -31  
-31 - 93 = -124  
-124 - 124 = -248  
-248 - 155 = -403  


Hence, the result of subtracting the first 5 multiples of 31 is -403.

 

Average of first 5 Multiples of 31:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 31 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 31 is 465.  
31 + 62 + 93 + 124 + 155 = 465  


Next, divide the sum by 5:

 
465 ÷ 5 = 93  


93 is the average of the first 5 multiples of 31.

 

Product of First 5 Multiples of 31:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 31 include: 31, 62, 93, 124, and 155. Now, the product of these numbers is:


31 × 62 × 93 × 124 × 155 = 81,606,240  


The product of the first 5 multiples of 31 is 81,606,240.

 

Division of First 5 Multiples of 31:

 

While we perform division, we get to know how many times 31 can fit into each of the given multiples. 31, 62, 93, 124, and 155 are the first 5 multiples of 31.


31 ÷ 31 = 1  
62 ÷ 31 = 2  
93 ÷ 31 = 3  
124 ÷ 31 = 4  
155 ÷ 31 = 5  


The results of dividing the first 5 multiples of 31 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 31

While working with multiples of 31, we make common mistakes. Identifying these errors and understanding how to avoid them can be helpful. Below are some frequent mistakes and tips to avoid them:

Mistake 1

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 31. A simple trick to differentiate between the two is to remember that multiples are the products of multiplication, while factors are the divisors of the number. Multiples of 31 refer to the products we get while multiplying 31 with other numbers. For example, multiples of 31 include 0, 31, 62, 93, 124, 155, 186, 217, 248, 279, 310,….  


The factors of 31 are 1 and 31. When 31 is divided by 1 and 31, the remainder will be zero. These are the factors of 31, meaning that these numbers can divide 31 without any remainder.

Factors of 31:  


31 ÷ 1 = 31  
31 ÷ 31 = 1

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Multiples of 31 Examples

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

Problem 1

A city council is planning to plant trees along a new road. They decide to plant trees in groups of 31 every month. If they continue planting for 6 months, how many trees will be planted in total?

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186 trees

Explanation

Each month, 31 trees are planted. To find the total number of trees after 6 months, multiply 31 by 6.

 

Trees planted each month = 31  
Number of months = 6  

 

31 × 6 = 186  

 

Therefore, 186 trees will be planted after 6 months.

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Max, the Girl Character from BrightChamps

Problem 2

Lisa, Mark, and Sarah are distributing flyers for a community event in the first three sections of their neighborhood. They distribute flyers in quantities corresponding to the first three multiples of 31. How many flyers did each person distribute?

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The first three multiples of 31 are 31, 62, and 93. Lisa distributed 31 flyers, Mark distributed 62 flyers, and Sarah distributed 93 flyers.

Explanation

The first three multiples of 31 are:

 

31 × 1 = 31  
31 × 2 = 62  
31 × 3 = 93

 

Thus, Lisa, Mark, and Sarah distributed 31, 62, and 93 flyers respectively.

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Max, the Girl Character from BrightChamps

Problem 3

A new apartment building has 31 floors, and each floor has 31 apartments. How many apartments are there in the entire building?

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961 apartments

Explanation

To find the total number of apartments, multiply the number of floors by the number of apartments per floor.

 

Number of floors = 31  
Number of apartments per floor = 31  

 

31 × 31 = 961  

 

Hence, there are 961 apartments in the building.

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Max, the Girl Character from BrightChamps

Problem 4

In a warehouse, there are 4 stacks of boxes. Each stack contains 31 boxes. How many boxes are there in total in the warehouse?

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124 boxes

Explanation

To find the total number of boxes, multiply the number of stacks by the number of boxes in each stack.

 

Number of stacks = 4  
Number of boxes per stack = 31  

 

4 × 31 = 124  

 

So, there are 124 boxes in total in the warehouse.

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

Problem 5

Daniel is setting up a series of events. He schedules 31 events in the first quarter, 62 in the second quarter, and 93 in the third quarter. How many events are scheduled in total over the three quarters?

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

186 events

Explanation

The number of events scheduled in each quarter are:

 

First quarter: 31 events  
Second quarter: 62 events  
Third quarter: 93 events  

 

To find the total number of events:

 

31 + 62 + 93 = 186  

 

Therefore, a total of 186 events are scheduled over the three quarters.

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

FAQs on Multiples of 31

1.How do you find the multiples of 31?

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2.What is the LCM of 7 and 31?

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3.What are the real-life applications of Multiples of 31?

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4.Are multiples of 31 finite or infinite?

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5.Is there any odd multiples of 31?

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6.How can poems help children in Qatar memorize the Multiplication Table and Multiples of 31?

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7.Can learning the Multiplication Table influence creativity in solving Multiples of 31 challenges for kids in Qatar?

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8.How do language and cultural differences in Qatar affect the way children learn the Multiplication Table and Multiples of 31?

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9.What role does brain development play in mastering the Multiplication Table and Multiples of 31 among early learners in Qatar?

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Professor Greenline from BrightChamps

Important Glossaries for Multiples of 31

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 31 include 31, 62, 93, 124, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 31 are the numbers that consist of the number pattern of 31.
     
  • Odd number: An odd number is a number that cannot be evenly divided by 2. Odd numbers have last digits of 1, 3, 5, 7, or 9. Some multiples of 31 are odd.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1 and 31 are the divisors of 31.
     
  • Infinite: In mathematics, infinite refers to a quantity with no bounds or end. Multiples of any number, including 31, are infinite.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, multiplication tables are more than just numbers—they open up endless opportunities! We help children all across Qatar master key math skills, focusing today on the Multiples of 31 with a special focus on multiples—in a lively, fun, and easy-to-understand way. Whether your child is timing the speed of a roller coaster at Angry Birds World, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, mastering multiplication tables gives them the confidence to face daily challenges. Our interactive lessons make learning both simple and enjoyable. Because kids in Qatar learn in many different ways, we adapt our approach to fit each child’s style. From Doha’s modern cityscape to Qatar’s desert landscapes, BrightChamps brings math alive, making it exciting across the country. Let’s make multiples a fun part of every child’s math journey!
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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