187 LearnersLast updated on May 26th, 2025
Multiples of 138
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 138.
What are the Multiples of 138?
Now, let us learn more about multiples of 138. Multiples of 138 are the numbers you get when you multiply 138 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 138 can be denoted as 138 × 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 138 × 1 will give us 138 as the product. Multiples of 138 will be larger or equal to 138.
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List of First 20 Multiples of 138
Multiples of 138 include the products of 138 and an integer. Multiples of 138 are divisible by 138 evenly. The first few multiples of 138 are given below:
| TABLE OF 138 (1-10) | |
|---|---|
|
138 x 1 = 138 |
138 x 6 = 828 |
|
138 x 2 = 276 |
138 x 7 = 966 |
|
138 x 3 = 414 |
138 x 8 = 1104 |
|
138 x 4 = 552 |
138 x 9 = 1242 |
|
138 x 5 = 690 |
138 x 10 = 1380 |
| TABLE OF 138 (11-20) | |
|---|---|
|
138 x 11 = 1518 |
138 x 16 = 2208 |
|
138 x 12 = 1656 |
138 x 17 = 2346 |
|
138 x 13 = 1794 |
138 x 18 = 2484 |
|
138 x 14 = 1932 |
138 x 19 = 2622 |
|
138 x 15 = 2070 |
138 x 20 = 2760 |
Now, we know the first few multiples of 138. They are 0, 138, 276, 414, 552, 690, 828, 966, 1104, 1242, 1380,...
Operations with Multiples of 138
Understanding the multiples of 138 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 138, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 138:
138, 276, 414, 552, and 690 are the first five multiples of 138. When multiplying 138 from 1 to 5 we get these numbers as the products.
So, the sum of these multiples is:
138 + 276 + 414 + 552 + 690 = 2070
When we add the first 5 multiples of 138 the answer will be 2070.
Subtraction of First 5 Multiples of 138:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 138, 276, 414, 552, and 690 are the first five multiples of 138. So, let us calculate it as given below:
138 - 276 = -138
-138 - 414 = -552
-552 - 552 = -1104
-1104 - 690 = -1794
Hence, the result of subtracting the first 5 multiples of 138 is -1794.
Average of First 5 Multiples of 138:
To calculate the average, we need to identify the sum of the first 5 multiples of 138, 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 138 is 2070.
138 + 276 + 414 + 552 + 690 = 2070
Next, divide the sum by 5:
2070 ÷ 5 = 414
414 is the average of the first 5 multiples of 138.
Product of First 5 Multiples of 138:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 138 include: 138, 276, 414, 552, and 690. Now, the product of these numbers is:
138 × 276 × 414 × 552 × 690 = 11,589,369,600,000
The product of the first 5 multiples of 138 is 11,589,369,600,000.
Division of First 5 Multiples of 138:
While we perform division, we get to know how many times 138 can fit into each of the given multiples. 138, 276, 414, 552, and 690 are the first 5 multiples of 138.
138 ÷ 138 = 1
276 ÷ 138 = 2
414 ÷ 138 = 3
552 ÷ 138 = 4
690 ÷ 138 = 5
The results of dividing the first 5 multiples of 138 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 138
While working with multiples of 138, 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 138. 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 138 refer to the products we get while multiplying 138 with other numbers. For example, multiples of 138 include 0, 138, 276, 414, 552, 690, 828, 966, 1104, 1242, 1380….
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, and 138. When 138 is divided by these numbers, the remainder will be zero. These are the factors of 138 meaning that these numbers can divide 138 without any remainder.
Factors of 138:
138 ÷ 1 = 138
138 ÷ 2 = 69
138 ÷ 3 = 46
138 ÷ 6 = 23
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 138 include 138, 276, 414, 552, 690, 828, …..1380, 1518,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 138, the result will still be a multiple of 138. For example, children may write, 138 + 276 = 415, (which is wrong and the correct answer is 414)
This is incorrect because 415 is not a multiple of 138. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 138.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 138, and any other number, is zero. It has a valid value. Remember this:
138 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 138 + 138 + 138 + 138 + 138. Instead of adding too many values, use multiplication. Calculate 138 × n for the nth multiple.
For example, instead of 138 + 138 + 138 + 138 + 138, calculate it as given below:
138 × 5 = 690
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Multiples of 138 Examples
Problem 1
A new art gallery is being set up, and each display section can hold 138 paintings. If the gallery plans to set up 6 sections, how many paintings can the gallery hold in total?
828 paintings
Explanation
To find the total number of paintings, multiply the number of sections by the number of paintings each section can hold.
Number of sections = 6
Paintings per section = 138
\( 138 \times 6 = 828 \)
Therefore, the gallery can hold a total of 828 paintings.
Problem 2
A music festival plans to distribute promotional flyers in bundles. Each bundle contains 138 flyers. If the festival organizers prepare bundles for the first three venues they are visiting, how many flyers will each venue receive?
The first three multiples of 138 are 138, 276, and 414. Venue 1 receives 138 flyers, Venue 2 receives 276 flyers, and Venue 3 receives 414 flyers.
Explanation
Calculate the first three multiples of 138:
\( 138 \times 1 = 138 \)
\( 138 \times 2 = 276 \)
\( 138 \times 3 = 414 \)
Thus, Venue 1 receives 138 flyers, Venue 2 receives 276 flyers, and Venue 3 receives 414 flyers.
Problem 3
A farmer has 138 apple trees. If he decides to plant the same number of trees in 5 different orchards, how many apple trees will he plant in total?
690 apple trees
Explanation
Multiply the number of orchards by the number of apple trees in each orchard.
Number of orchards = 5
Apple trees per orchard = 138
\( 138 \times 5 = 690 \)
Therefore, the farmer will plant a total of 690 apple trees.
Problem 4
A company is designing a new product line and plans to manufacture 138 units of each product type. If there are 4 different types of products, how many units will be manufactured in total?
552 units
Explanation
Multiply the number of product types by the number of units per type.
Number of product types = 4
Units per product type = 138
\( 138 \times 4 = 552 \)
Therefore, a total of 552 units will be manufactured.
Problem 5
An event planner needs to organize chairs for a conference. If each row in the conference hall accommodates 138 chairs, and there are 3 rows, how many chairs are there in total?
414 chairs
Explanation
Multiply the number of rows by the number of chairs in each row.
Number of rows = 3
Chairs per row = 138
\( 138 \times 3 = 414 \)
Therefore, there are a total of 414 chairs in the conference hall.
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FAQs on Multiples of 138
1.How do you find the multiples of 138?
2.What is the LCM of 23 and 138?
3.What are the real-life applications of Multiples of 138?
4.Are multiples of 138 finite or infinite?
5.Is there any odd multiples of 138?
6.How can poems help children in Oman memorize the Multiplication Table and Multiples of 138?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 138 challenges for kids in Oman?
8.How do language and cultural differences in Oman affect the way children learn the Multiplication Table and Multiples of 138?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 138 among early learners in Oman?
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Important Glossaries for Multiples of 138
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 138 include 138, 276, 414, 552, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 138 are the numbers that consist of the number pattern of 138.
- 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 138 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 23, 46, 69, and 138 are the divisors of 138.
- LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 23 and 138 is 138.
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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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