185 LearnersLast updated on May 26th, 2025
Multiples of 39
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 39.
What are the Multiples of 39?
Now, let us learn more about multiples of 39. Multiples of 39 are the numbers you get when you multiply 39 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 39 can be denoted as 39 × 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 39 × 1 will give us 39 as the product. Multiples of 39 will be larger or equal to 39.
List of First 20 Multiples of 39
Multiples of 39 include the products of 39 and an integer. Multiples of 39 are divisible by 39 evenly. The first few multiples of 39 are given below:
| TABLE OF 39 (1-10) | |
|---|---|
|
39 x 1 = 39 |
39 x 6 = 234 |
|
39 x 2 = 78 |
39 x 7 = 273 |
|
39 x 3 = 117 |
39 x 8 = 312 |
|
39 x 4 = 156 |
39 x 9 = 351 |
|
39 x 5 = 195 |
39 x 10 = 390 |
| TABLE OF 39 (11-20) | |
|---|---|
|
39 x 11 = 429 |
39 x 16 = 624 |
|
39 x 12 = 468 |
39 x 17 = 663 |
|
39 x 13 = 507 |
39 x 18 = 702 |
|
39 x 14 = 546 |
39 x 19 = 741 |
|
39 x 15 = 585 |
39 x 20 = 780 |
Now, we know the first few multiples of 39. They are 0, 39, 78, 117, 156, 195, 234, 273, 312, 351, 390,...
Operations with Multiples of 39
Understanding the multiples of 39 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 39, we need to apply them to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 39:
39, 78, 117, 156, and 195 are the first five multiples of 39. When multiplying 39 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
39 + 78 + 117 + 156 + 195 = 585
The sum of the first 5 multiples of 39 is 585.
Subtraction of first 5 Multiples of 39:
While we perform subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 39, 78, 117, 156, and 195 are the first five multiples of 39. So, let us calculate it as given below:
39 - 78 = -39
-39 - 117 = -156
-156 - 156 = -312
-312 - 195 = -507
Hence, the result of subtracting the first 5 multiples of 39 is -507.
Average of first 5 Multiples of 39:
To calculate the average, we need to identify the sum of the first 5 multiples of 39, 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 39 is 585.
39 + 78 + 117 + 156 + 195 = 585
Next, divide the sum by 5:
585 ÷ 5 = 117
117 is the average of the first 5 multiples of 39.
Product of First 5 Multiples of 39:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 39 include: 39, 78, 117, 156, and 195. Now, the product of these numbers is:
39 × 78 × 117 × 156 × 195 = 56,989,776,780
The product of the first 5 multiples of 39 is 56,989,776,780.
Division of First 5 Multiples of 39:
While we perform division, we get to know how many times 39 can fit into each of the given multiples. 39, 78, 117, 156, and 195 are the first 5 multiples of 39.
39 ÷ 39 = 1
78 ÷ 39 = 2
117 ÷ 39 = 3
156 ÷ 39 = 4
195 ÷ 39 = 5
The results of dividing the first 5 multiples of 39 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 39
While working with multiples of 39, 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
ometimes, students get confused between the multiples and factors of 39. 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 39 refer to the products we get while multiplying 39 with other numbers. For example, multiples of 39 include 0, 39, 78, 117, 156, 195, 234, 273, 312, 351, 390….
The factors of 39 are 1, 3, 13, and 39. When 39 is divided by 1, 3, 13, and 39, the remainder will be zero. These are the factors of 39, meaning that these numbers can divide 39 without any remainder.
Factors of 39:
39 ÷ 1 = 39
39 ÷ 3 = 13
39 ÷ 13 = 3
39 ÷ 39 = 1
Multiples of 39 Examples
Problem 1
A farmer is planting apple trees in his orchard. He decides to plant 39 trees in each section of the orchard. If he plants trees in 5 sections over the next few months, how many trees will he have planted in total?
195 trees
Explanation
The farmer plants 39 trees in each section. To find the total number of trees planted across 5 sections, we multiply:
Trees per section = 39
Number of sections = 5
39 × 5 = 195
Therefore, the farmer will have planted 195 trees.
Problem 2
Three friends, Alice, Bob, and Carol, are collecting unique stamps. They decide to collect them in multiples of 39. If Alice collects the first multiple, Bob collects the second, and Carol collects the third, how many stamps do they each collect?
Alice collects 39 stamps, Bob collects 78 stamps, and Carol collects 117 stamps.
Explanation
The first three multiples of 39 are:
39 × 1 = 39
39 × 2 = 78
39 × 3 = 117
Thus, Alice collects 39 stamps, Bob collects 78, and Carol collects 117 stamps.
Problem 3
In a factory, there are 39 machines, and each machine produces 39 parts per day. How many parts are produced in total each day?
1,521 parts.
Explanation
To find the total number of parts produced daily, multiply the number of machines by the parts each machine produces:
Number of machines = 39
Parts per machine per day = 39
39 × 39 = 1,521
Therefore, the factory produces 1,521 parts each day.
Problem 4
A music band is selling concert tickets. They sell 39 tickets for each show. If they perform 7 shows, how many tickets will they sell in total?
273 tickets.
Explanation
Multiply the number of tickets sold per show by the number of shows:
Tickets per show = 39
Number of shows = 7
39 × 7 = 273
Therefore, the band will sell 273 tickets in total.
Problem 5
A librarian is organizing books into sections, with each section containing 39 books. If there are 3 sections, how many books are organized in total?
117 books.
Explanation
The total number of books is found by multiplying the number of books per section by the number of sections:
Books per section = 39
Number of sections = 3
39 × 3 = 117
Thus, there are 117 books organized in total.
FAQs on Multiples of 39
1.How do you find the multiples of 39?
2.What is the LCM of 7 and 39?
3.What are the real-life applications of Multiples of 39?
4.Are multiples of 39 finite or infinite?
5.Is there any odd multiple of 39?
Important Glossaries for Multiples of 39
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 39 include 39, 78, 117, 156, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 39 are the numbers that consist of the number pattern of 39.
- Odd number: An odd number refers to any number that cannot be evenly divided by 2. The last digits of odd numbers are 1, 3, 5, 7, or 9. All non-zero multiples of 39 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 13, and 39 are the divisors of 39.
- Least Common Multiple (LCM): The smallest multiple that is exactly divisible by two or more numbers. For example, the LCM of 7 and 39 is 273.
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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
