248 LearnersLast updated on May 26th, 2025
Multiples of 48
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.
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.
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,...
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.
Common Mistakes and How to Avoid Them in Multiples of 48
While working with Multiples of 48, 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
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 48. 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 48 refer to the products we get while multiplying 48 with other numbers. For example, multiples of 48 include 0, 48, 96, 144, 192, 240, 288, 336, 384, 432, 480….
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. When 48 is divided by these numbers, the remainder will be zero.
Factors of 48:
48 ÷ 1 = 48
48 ÷ 2 = 24
48 ÷ 3 = 16
48 ÷ 4 = 12
48 ÷ 6 = 8
48 ÷ 8 = 6
48 ÷ 12 = 4
48 ÷ 16 = 3
48 ÷ 24 = 2
48 ÷ 48 = 1
Multiples of 48 Examples
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?
576 meals
Explanation
To find the total number of meals distributed, multiply the number of meals per package by the number of weeks in 3 months. Assuming 4 weeks per month:
Meals per package = 48
Number of weeks = 12 (3 months × 4 weeks per month)
\(48 \times 12 = 576\)
Therefore, 576 meals will be distributed in total after 3 months.
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?
Alex used 48 blocks, Ben used 96 blocks, and Charlie used 144 blocks.
Explanation
The first three multiples of 48 are:
\(48 \times 1 = 48\)
\(48 \times 2 = 96\)
\(48 \times 3 = 144\)
Thus, Alex used 48 blocks, Ben used 96 blocks, and Charlie used 144 blocks.
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?
240 e-books.
Explanation
To find the total number of e-books, multiply the number of e-books per plan by the number of plans:
Number of plans = 5
E-books per plan = 48
\(48 \times 5 = 240\)
Therefore, a total of 240 e-books are available in the library.
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?
2304 fruits.
Explanation
First, find the total number of trees by multiplying the number of trees per row by the number of rows:
Trees per row = 6
Number of rows = 8
Total trees = \(6 \times 8 = 48\)
Then, multiply the total number of trees by the number of fruits per tree:
\(48 \times 48 = 2304\)
Therefore, there are 2304 fruits in total.
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?
288 chairs.
Explanation
To find the total number of chairs, multiply the number of chairs per section by the number of sections:
Chairs per section = 48
Number of sections = 6
\(48 \times 6 = 288\)
Therefore, there are 288 chairs in total in the conference hall.
FAQs on Multiples of 48
1.How do you find the multiples of 48?
2.What is the LCM of 7 and 48?
3.What are the real-life applications of Multiples of 48?
4.Are multiples of 48 finite or infinite?
5.Is there any odd multiple of 48?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 48?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 48 challenges for kids in Thailand?
8.How do language and cultural differences in Thailand affect the way children learn the Multiplication Table and Multiples of 48?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 48 among early learners in Thailand?
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
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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.
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