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Last updated on February 11th, 2025

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Multiples of 48

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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 48.

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What are the Multiples of 48?

Now, let us learn more about multiples of 48. Multiples of 48 are the numbers you get when you multiply 48 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 48 can be denoted as 48 × 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 48 × 1 will give us 48 as the product. Multiples of 48 will be larger or equal to 48.Multiples of 48
 

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List of First 20 Multiples of 48

Multiples of 48 include the products of 48 and an integer. Multiples of 48 are divisible by 48 evenly. The first few multiples of 48 are given below:

 

TABLE OF 48 (1-10)

48 x 1 = 48

48 x 6 = 288

48 x 2 = 96

48 x 7 = 336

48 x 3 = 144

48 x 8 = 384

48 x 4 = 192

48 x 9 = 432

48 x 5 = 240

48 x 10 = 480

 

TABLE OF 48 (11-20)

48 x 11 = 528

48 x 16 = 768

48 x 12 = 576

48 x 17 = 816

48 x 13 = 624

48 x 18 = 864

48 x 14 = 672

48 x 19 = 912

48 x 15 = 720

48 x 20 = 960

 

Now, we know the first few multiples of 48. They are 0, 48, 96, 144, 192, 240, 288, 336, 384, 432, 480,...
 

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Operations with Multiples of 48

Understanding the multiples of 48 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 48, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 48:

 

48, 96, 144, 192, and 240 are the first five multiples of 48. When multiplying 48 from 1 to 5, we get these numbers as the products.

 
So, the sum of these multiples is:  


48 + 96 + 144 + 192 + 240 = 720

 
When we add the first 5 multiples of 48, the answer will be 720.

 

Subtraction of First 5 Multiples of 48:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 48, 96, 144, 192, and 240 are the first five multiples of 48. So, let us calculate it as given below:  


48 - 96 = -48  
-48 - 144 = -192  
-192 - 192 = -384  
-384 - 240 = -624  


Hence, the result of subtracting the first 5 multiples of 48 is -624.

 

Average of First 5 Multiples of 48:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 48 and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 48 is 720.  


48 + 96 + 144 + 192 + 240 = 720

 
Next, divide the sum by 5:  


720 ÷ 5 = 144  


144 is the average of the first 5 multiples of 48.

 

Product of First 5 Multiples of 48:

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 48 include: 48, 96, 144, 192, and 240. Now, the product of these numbers is:  


48 × 96 × 144 × 192 × 240 = 3,407,872,000  


The product of the first 5 multiples of 48 is 3,407,872,000.

 

Division of First 5 Multiples of 48:

 

While we perform division, we get to know how many times 48 can fit into each of the given multiples. 48, 96, 144, 192, and 240 are the first 5 multiples of 48.  


48 ÷ 48 = 1  
96 ÷ 48 = 2  
144 ÷ 48 = 3  
192 ÷ 48 = 4  
240 ÷ 48 = 5  


The results of dividing the first 5 multiples of 48 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 48

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Multiples of 48 Examples

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Problem 1

Emma is organizing a charity event where she plans to distribute food packages. Each package contains 48 meals, and she aims to distribute these packages every week for 3 months. How many meals will be distributed in total after 3 months?

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Explanation

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Problem 2

Alex, Ben, and Charlie are building towers using blocks. They decide to build towers following the multiples of 48. How many blocks did each of them use if they built towers using the first three multiples of 48?

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Explanation

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Problem 3

In a digital library, there are 48 e-books per subscription plan. If the library offers 5 different subscription plans, how many e-books are available in total?

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Explanation

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Problem 4

A gardener is planting trees in rows. Each row contains 6 trees, and there are 8 such rows. If each tree bears 48 fruits, how many fruits are there in total?

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Explanation

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Problem 5

At a large conference, there are 48 chairs in each section. If there are 6 sections in the conference hall, how many chairs are there in total?

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Explanation

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FAQs on Multiples of 48

1.How do you find the multiples of 48?

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2.What is the LCM of 7 and 48?

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3.What are the real-life applications of Multiples of 48?

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4.Are multiples of 48 finite or infinite?

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5.Is there any odd multiple of 48?

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Important Glossaries for Multiples of 48

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 48 include 48, 96, 144, 192, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 48 are the numbers that consist of the number pattern of 48.
     
  • Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 48 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, 8, 12, 16, 24, and 48 are the divisors of 48.
     
  • LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number in a set of numbers. For example, the LCM of 7 and 48 is 336.
     
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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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Fun Fact

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

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