169 LearnersLast updated on May 26th, 2025
Multiples of 46
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 46.
What are the Multiples of 46?
Now, let us learn more about multiples of 46. Multiples of 46 are the numbers you get when you multiply 46 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 46 can be denoted as 46 × 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 46 × 1 will give us 46 as the product. Multiples of 46 will be larger or equal to 46.
List of First 20 Multiples of 46
Multiples of 46 include the products of 46 and an integer. Multiples of 46 are divisible by 46 evenly. The first few multiples of 46 are given below:
| TABLE OF 46 (1-10) | |
|---|---|
|
46 x 1 = 46 |
46 x 6 = 276 |
|
46 x 2 = 92 |
46 x 7 = 322 |
|
46 x 3 = 138 |
46 x 8 = 368 |
|
46 x 4 = 184 |
46 x 9 = 414 |
|
46 x 5 = 230 |
46 x 10 = 460 |
| TABLE OF 46 (11-20) | |
|---|---|
|
46 x 11 = 506 |
46 x 16 = 736 |
|
46 x 12 = 552 |
46 x 17 = 782 |
|
46 x 13 = 598 |
46 x 18 = 828 |
|
46 x 14 = 644 |
46 x 19 = 874 |
|
46 x 15 = 690 |
46 x 20 = 920 |
Now, we know the first few multiples of 46. They are 0, 46, 92, 138, 184, 230, 276, 322, 368, 414, 460,...
Operations with Multiples of 46
Understanding the multiples of 46 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 46, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 46:
46, 92, 138, 184, and 230 are the first five multiples of 46. When multiplying 46 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
46 + 92 + 138 + 184 + 230 = 690
When we add the first 5 multiples of 46, the answer will be 690.
Subtraction of First 5 Multiples of 46:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 46, 92, 138, 184, and 230 are the first five multiples of 46. So, let us calculate it as given below:
46 - 92 = -46
-46 - 138 = -184
-184 - 184 = -368
-368 - 230 = -598
Hence, the result of subtracting the first 5 multiples of 46 is -598.
Average of First 5 Multiples of 46:
To calculate the average, we need to identify the sum of the first 5 multiples of 46 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 46 is 690.
46 + 92 + 138 + 184 + 230 = 690
Next, divide the sum by 5:
690 ÷ 5 = 138
138 is the average of the first 5 multiples of 46.
Product of First 5 Multiples of 46:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 46 include: 46, 92, 138, 184, and 230. Now, the product of these numbers is:
46 × 92 × 138 × 184 × 230 = 2,592,158,080
The product of the first 5 multiples of 46 is 2,592,158,080.
Division of First 5 Multiples of 46:
While we perform division, we get to know how many times 46 can fit into each of the given multiples. 46, 92, 138, 184, and 230 are the first 5 multiples of 46.
46 ÷ 46 = 1
92 ÷ 46 = 2
138 ÷ 46 = 3
184 ÷ 46 = 4
230 ÷ 46 = 5
The results of dividing the first 5 multiples of 46 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 46
While working with multiples of 46, 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 46. 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 46 refer to the products we get while multiplying 46 with other numbers. For example, multiples of 46 include 0, 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, etc.
The factors of 46 are 1, 2, 23, and 46. When 46 is divided by 1, 2, 23, and 46 the remainder will be zero. These are the factors of 46 meaning that these numbers can divide 46 without any remainder.
Factors of 46:
46 ÷ 1 = 46
46 ÷ 2 = 23
46 ÷ 23 = 2
46 ÷ 46 = 1
Multiples of 46 Examples
Problem 1
In a crafting workshop, each participant creates 46 origami models every week. If there are 5 participants, how many origami models will be created after 3 weeks?
690 origami models
Explanation
Each participant creates 46 models per week. To find the total number of models after 3 weeks for 5 participants, we multiply the number of models created by one participant each week by the number of participants and weeks.
Models created by one participant in one week = 46
Number of participants = 5
Number of weeks = 3
\[ 46 \times 5 \times 3 = 690 \]
Therefore, 690 origami models will be created after 3 weeks.
Problem 2
A farmer plants fruit trees in rows. Each row has a number of trees equal to a multiple of 46. If the first row has 46 trees, the second row has 92 trees, and the third row has 138 trees, how many trees are there in total?
276 trees
Explanation
The number of trees in each row corresponds to the first three multiples of 46. We add these numbers to find the total.
First row: \( 46 \times 1 = 46 \) trees
Second row: \( 46 \times 2 = 92 \) trees
Third row: \( 46 \times 3 = 138 \) trees
\[ 46 + 92 + 138 = 276 \]
So, there are 276 trees in total.
Problem 3
A school is organizing a science exhibition with 46 projects displayed in each room. If the exhibition has 7 rooms, how many projects are displayed in total?
322 projects
Explanation
To find the total number of projects displayed, we multiply the number of projects per room by the number of rooms.
Projects per room = 46
Number of rooms = 7
\[ 46 \times 7 = 322 \]
Therefore, 322 projects are displayed in total.
Problem 4
A library categorizes its books by genre, and each genre has a set number of books that is a multiple of 46. If the fiction section has 46 books, the non-fiction section has twice that amount, and the science section has three times the amount of fiction books, how many books are there in total?
414 books
Explanation
The number of books in each section is based on multiples of 46.
Fiction: \( 46 \times 1 = 46 \) books
Non-fiction: \( 46 \times 2 = 92 \) books
Science: \( 46 \times 3 = 138 \) books
\[ 46 + 92 + 138 = 276 \]
Therefore, there are 276 books in total.
Problem 5
A music band releases albums containing 46 songs each. If they release 4 albums, how many songs have they released in total?
184 songs
Explanation
Multiply the number of songs per album by the number of albums to find the total number of songs released.
Songs per album = 46
Number of albums = 4
\[ 46 \times 4 = 184 \]
Thus, the band has released 184 songs in total.
FAQs on Multiples of 46
1.How do you find the multiples of 46?
2.What is the LCM of 23 and 46?
3.What are the real-life applications of Multiples of 46?
4.Are multiples of 46 finite or infinite?
5.Is there any odd multiples of 46?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 46?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 46 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 46?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 46 among early learners in Thailand?
Important Glossaries for Multiples of 46
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 46 include 46, 92, 138, 184, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 46 are the numbers that consist of the number pattern of 46.
- 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 46 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 23, and 46 are the divisors of 46.
- LCM (Least Common Multiple): The smallest multiple that is exactly divisible by each number of a set. For example, the LCM of 23 and 46 is 46.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
