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Last updated on March 29th, 2025

Multiples of 31

Q: How do you find the multiples of 31?

To find out the multiples of 31, we need to multiply 31 by any natural number. Natural numbers include 1, 2, 3,...etc. The results will be multiples of 31. Multiples of 31 will be larger or equal to 31. 31 × 1 = 31 31 × 2 = 62 31 × 3 = 93 31 × 4 = 124 31 × 5 = 155

Q: What is the LCM of 7 and 31?

LCM of 7 and 31 is 217. LCM refers to the Least Common Multiple of two or more numbers. While we find out the LCM of 7 and 31 using the listing method, we need to list the multiples of both 7 and 31. Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,… Multiples of 31 are 31, 62, 93, 124, 155, 186, 217, 248,… Here, the smallest common number that appears in both lists is 217. LCM of 7 and 31 = 217.

Q: What are the real-life applications of Multiples of 31?

Multiples of 31 can be helpful in various real-life situations. We can use it for calculating the price of items, evaluating the value of multiple items, and organizing a number into groups.

Q: Are multiples of 31 finite or infinite?

All the multiples of 31 are infinite. In multiplication, every number has infinite multiples, including a multiple of itself. There are both positive and negative multiples of 31. When we calculate 31 × n, if the integer ‘n’ goes on forever, the multiples of 31 also become infinite.

Q: Is there any odd multiples of 31?

Yes, there are odd numbers in the multiples of 31. Because 31 is an odd number, when we multiply an odd number by any number, the result might be either odd or even depending on the multiplier. For example, 31 × 1 = 31 31 × 2 = 62 31 × 3 = 93 31 × 4 = 124 31 × 5 = 155

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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.

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. $Multiples of 31$

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,...

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.

Common Mistakes and How to Avoid Them in Multiples of 31

Multiples of 31 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

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?

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

Explanation

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?

Explanation

Problem 3

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

Explanation

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?

Explanation

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?

Explanation

FAQs on Multiples of 31

1.How do you find the multiples of 31?

2.What is the LCM of 7 and 31?

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

4.Are multiples of 31 finite or infinite?

5.Is there any odd multiples of 31?

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.

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Seyed Ali Fathima S

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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.