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Last updated on March 29th, 2025

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Multiples of 396

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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 396.

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What are the Multiples of 396?

Now, let us learn more about multiples of 396. Multiples of 396 are the numbers you get when you multiply 396 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 396 can be denoted as 396 × 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 396 × 1 will give us 396 as the product. Multiples of 396 will be larger or equal to 396.

multiples of 396
 

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List of First 20 Multiples of 396

Multiples of 396 include the products of 396 and an integer. Multiples of 396 are divisible by 396 evenly. The first few multiples of 396 are given below:

 

TABLE OF 396 (1-10)

396 x 1 = 396

396 x 6 = 2376

396 x 2 = 792

396 x 7 = 2772

396 x 3 = 1188

396 x 8 = 3168

396 x 4 = 1584

396 x 9 = 3564

396 x 5 = 1980

396 x 10 = 3960

 

TABLE OF 396 (11-20)

396 x 11 = 4356

396 x 16 = 6336

396 x 12 = 4752

396 x 17 = 6732

396 x 13 = 5148

396 x 18 = 7128

396 x 14 = 5544

396 x 19 = 7524

396 x 15 = 5940

396 x 20 = 7920

 

Now, we know the first few multiples of 396. They are 0, 396, 792, 1,188, 1,584, 1,980, 2,376, 2,772, 3,168, 3,564, 3,960,...

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Operations with Multiples of 396

Understanding the multiples of 396 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 396, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 396:


396, 792, 1,188, 1,584, and 1,980 are the first five multiples of 396. When multiplying 396 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
396 + 792 + 1,188 + 1,584 + 1,980 = 5,940
When we add the first 5 multiples of 396, the answer will be 5,940.  

 

Subtraction of first 5 Multiples of 396:


While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 396, 792, 1,188, 1,584, and 1,980 are the first five multiples of 396. So, let us calculate it as given below:
396 - 792 = -396
-396 - 1,188 = -1,584
-1,584 - 1,584 = -3,168
-3,168 - 1,980 = -5,148
Hence, the result of subtracting the first 5 multiples of 396 is -5,148.

 

Average of first 5 Multiples of 396:


To calculate the average, we need to identify the sum of the first 5 multiples of 396, 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 396 is 5,940.
396 + 792 + 1,188 + 1,584 + 1,980 = 5,940
Next, divide the sum by 5:
5,940 ÷ 5 = 1,188
1,188 is the average of the first 5 multiples of 396.

 

Product of First 5 Multiples of 396:


The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 396 include: 396, 792, 1,188, 1,584, and 1,980. Now, the product of these numbers is:
396 × 792 × 1,188 × 1,584 × 1,980 = 2,958,458,982,400
The product of the first 5 multiples of 396 is 2,958,458,982,400.

 

Division of First 5 Multiples of 396:


While we perform division, we get to know how many times 396 can fit into each of the given multiples. 396, 792, 1,188, 1,584, and 1,980 are the first 5 multiples of 396.
396 ÷ 396 = 1
792 ÷ 396 = 2
1,188 ÷ 396 = 3
1,584 ÷ 396 = 4
1,980 ÷ 396 = 5    
The results of dividing the first 5 multiples of 396 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 396

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Multiples of 396 Examples

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Problem 1

Tina is organizing a charity raffle. Each ticket book contains 396 tickets. If she distributes these ticket books equally among 5 community centers, how many tickets are distributed in total?

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Explanation

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Problem 2

A warehouse stores 396 pallets of goods each month. If the warehouse receives deliveries for 3 consecutive months, how many pallets will it have received in total?

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Explanation

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Problem 3

A company prints brochures in batches of 396. If they complete 7 batches in a week, how many brochures have they printed?

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Explanation

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Problem 4

An event planner needs to set up chairs in rows. Each row contains 396 chairs. If she sets up 10 rows, how many chairs are there altogether?

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Explanation

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Problem 5

A library receives a shipment of new books every quarter. Each shipment contains 396 books. How many books does the library receive in a year?

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Explanation

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FAQs on Multiples of 396

1.How do you find the multiples of 396?

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2.What is the LCM of 6 and 396?

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3.What are the real-life applications of Multiples of 396?

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4.Are multiples of 396 finite or infinite?

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5.Is there any odd multiple of 396?

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Important Glossaries for Multiples of 396

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 396 include 396, 792, 1,188, 1,584, etc. 

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 396 are the numbers that consist of the number pattern of 396. 

 

  • 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 396 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, and 396 are the divisors of 396.

 

  • Least Common Multiple (LCM): The smallest common multiple that is common to two or more numbers. For example, the LCM of 6 and 396 is 396.
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