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Last updated on March 29th, 2025

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Multiples of 392

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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 392.

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What are the Multiples of 392?

Now, let us learn more about multiples of 392. Multiples of 392 are the numbers you get when you multiply 392 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 392 can be denoted as 392 × 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 392 × 1 will give us 392 as the product. Multiples of 392 will be larger or equal to 392.

multiples of 392
 

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List of First 20 Multiples of 392

Multiples of 392 include the products of 392 and an integer. Multiples of 392 are divisible by 392 evenly. The first few multiples of 392 are given below:

 

TABLE OF 392 (1-10)

392 x 1 = 392

392 x 6 = 2352

392 x 2 = 784

392 x 7 = 2744

392 x 3 = 1176

392 x 8 = 3136

392 x 4 = 1568

392 x 9 = 3528

392 x 5 = 1960

392 x 10 = 3920

 

TABLE OF 392 (11-20)

392 x 11 = 4312

392 x 16 = 6272

392 x 12 = 4704

392 x 17 = 6664

392 x 13 = 5096

392 x 18 = 7056

 

Now, we know the first few multiples of 392. They are 0, 392, 784, 1176, 1568, 1960, 2352, 2744, 3136, 3528, 3920,...

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Operations with Multiples of 392

Understanding the multiples of 392 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 392, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 392:


392, 784, 1176, 1568, and 1960 are the first five multiples of 392. When multiplying 392 from 1 to 5, we get these numbers as the products.

So, the sum of these multiples is:
392 + 784 + 1176 + 1568 + 1960 = 5880

When we add the first 5 multiples of 392, the answer will be 5880.

 

Subtraction of first 5 Multiples of 392:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 392, 784, 1176, 1568, and 1960 are the first five multiples of 392. So, let us calculate it as given below:
392 - 784 = -392
-392 - 1176 = -1568
-1568 - 1568 = -3136
-3136 - 1960 = -5096

Hence, the result of subtracting the first 5 multiples of 392 is -5096.

 

Average of first 5 Multiples of 392:


To calculate the average, we need to identify the sum of the first 5 multiples of 392, 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 392 is 5880.
392 + 784 + 1176 + 1568 + 1960 = 5880

Next, divide the sum by 5:
5880 ÷ 5 = 1176

1176 is the average of the first 5 multiples of 392.

 

Product of First 5 Multiples of 392:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 392 include: 392, 784, 1176, 1568, and 1960. Now, the product of these numbers is:
392 × 784 × 1176 × 1568 × 1960 = 4,824,809,267,200

The product of the first 5 multiples of 392 is 4,824,809,267,200.

 

Division of First 5 Multiples of 392:


While we perform division, we get to know how many times 392 can fit into each of the given multiples. 392, 784, 1176, 1568, and 1960 are the first 5 multiples of 392.
392 ÷ 392 = 1
784 ÷ 392 = 2
1176 ÷ 392 = 3
1568 ÷ 392 = 4
1960 ÷ 392 = 5    

The results of dividing the first 5 multiples of 392 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 392

While working with multiples of 392, 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 392. 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 392 refer to the products we get while multiplying 392 with other numbers. For example, multiples of 392 include 0, 392, 784, 1176, 1568, 1960, 2352, 2744, 3136, 3528, 3920….

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392. When 392 is divided by these numbers, the remainder will be zero. These are the factors of 392 meaning that these numbers can divide 392 without any remainder.

Factors of 392:
392 ÷ 1 = 392
392 ÷ 2 = 196
392 ÷ 4 = 98
392 ÷ 7 = 56
392 ÷ 392 = 1

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Multiples of 392 Examples

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Problem 1

Maya is organizing a charity event where each table has 392 seats. If they continue setting up tables with 392 seats each, how many seats will they have available after setting up 5 tables?

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1960 seats

Explanation

Each table has 392 seats. To find the total number of seats after setting up 5 tables, we multiply 392 by 5.  

Seats per table = 392  

Number of tables = 5  

392 × 5 = 1960  

They will have 1960 seats available after setting up 5 tables.

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Problem 2

A factory produces batches of 392 toys each day. If the factory operates for 3 days, how many toys are produced in total?

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1176 toys

Explanation

Each day, the factory produces 392 toys. To find the total number of toys produced over 3 days, we multiply 392 by 3.  

Toys produced per day = 392  

Number of days = 3  

392 × 3 = 1176  

The factory will produce 1176 toys in total over 3 days.

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Problem 3

In a large orchard, there are 392 apple trees in each section. If there are 4 sections, how many apple trees are there in total?

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1568 apple trees

Explanation

To find the total number of apple trees, multiply the number of trees per section by the number of sections.  

Trees per section = 392  

Number of sections = 4  

392 × 4 = 1568  

There are 1568 apple trees in total in the orchard.

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Problem 4

A shipping company loads 392 boxes onto each of its cargo ships. If the company operates 6 ships, how many boxes are shipped in total?

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2352 boxes

Explanation

Multiply the number of boxes per ship by the number of ships to find the total number of boxes shipped.  

Boxes per ship = 392  

Number of ships = 6  

392 × 6 = 2352  

A total of 2352 boxes are shipped by the company.

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Problem 5

During an art installation, 392 lights are used for each display. If there are 2 displays, how many lights are used in total?

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784 lights  
 

Explanation

Multiply the number of lights per display by the number of displays to find the total number of lights used.  

Lights per display = 392  

Number of displays = 2  

392 × 2 = 784  

A total of 784 lights are used in the art installation.

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FAQs on Multiples of 392

1.How do you find the multiples of 392?

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2.What is the LCM of 7 and 392?

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3.What are the real-life applications of Multiples of 392?

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4.Are multiples of 392 finite or infinite?

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5.Is there any odd multiple of 392?

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Important Glossaries for Multiples of 392

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 392 include 392, 784, 1176, 1568, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 392 are the numbers that consist of the number pattern of 392.

 

  • 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 392 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392 are the divisors of 392.

 

  • Factor: A factor is a number that divides another number completely, leaving no remainder. For example, the factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392.
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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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: She has songs for each table which helps her to remember the tables

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