116 LearnersLast updated on May 26th, 2025
Multiples of 69
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 69.
What are the Multiples of 69?
Now, let us learn more about multiples of 69. Multiples of 69 are the numbers you get when you multiply 69 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 69 can be denoted as 69 × 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 69 × 1 will give us 69 as the product. Multiples of 69 will be larger or equal to 69.
List of First 20 Multiples of 69
Multiples of 69 include the products of 69 and an integer. Multiples of 69 are divisible by 69 evenly. The first few multiples of 69 are given below:
| TABLE OF 69 (1-10) | |
|---|---|
|
69 x 1 = 69 |
69 x 6 = 414 |
|
69 x 2 = 138 |
69 x 7 = 483 |
|
69 x 3 = 207 |
69 x 8 = 552 |
|
69 x 4 = 276 |
69 x 9 = 621 |
|
69 x 5 = 345 |
69 x 10 = 690 |
| TABLE OF 69 (11-20) | |
|---|---|
|
69 x 11 = 759 |
69 x 16 = 1104 |
|
69 x 12 = 828 |
69 x 17 = 1173 |
|
69 x 13 = 897 |
69 x 18 = 1242 |
|
69 x 14 = 966 |
69 x 19 = 1311 |
|
69 x 15 = 1035 |
69 x 20 = 1380 |
Operations with Multiples of 69
Understanding the multiples of 69 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 69, we apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of first 5 Multiples of 69:
69, 138, 207, 276, and 345 are the first five multiples of 69. When multiplying 69 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
69 + 138 + 207 + 276 + 345 = 1035
When we add the first 5 multiples of 69, the answer will be 1035.
Subtraction of first 5 Multiples of 69:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 69, 138, 207, 276, and 345 are the first five multiples of 69. So, let us calculate it as given below:
69 - 138 = -69
-69 - 207 = -276
-276 - 276 = -552
-552 - 345 = -897
Hence, the result of subtracting the first 5 multiples of 69 is -897.
Average of first 5 Multiples of 69:
To calculate the average, we need to identify the sum of the first 5 multiples of 69, 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 69 is 1035.
69 + 138 + 207 + 276 + 345 = 1035
Next, divide the sum by 5:
1035 ÷ 5 = 207
207 is the average of the first 5 multiples of 69.
Product of First 5 Multiples of 69:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 69 include: 69, 138, 207, 276, and 345. Now, the product of these numbers is:
69 × 138 × 207 × 276 × 345 = 5,476,764,420
The product of the first 5 multiples of 69 is 5,476,764,420.
Division of First 5 Multiples of 69:
While we perform division, we get to know how many times 69 can fit into each of the given multiples. 69, 138, 207, 276, and 345 are the first 5 multiples of 69.
69 ÷ 69 = 1
138 ÷ 69 = 2
207 ÷ 69 = 3
276 ÷ 69 = 4
345 ÷ 69 = 5
The results of dividing the first 5 multiples of 69 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 69
While working with multiples of 69, 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 69. 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 69 refer to the products we get while multiplying 69 with other numbers. For example, multiples of 69 include 0, 69, 138, 207, 276, 345, 414, 483, 552, 621, 690…
The factors of 69 are 1, 3, 23, and 69. When 69 is divided by 1, 3, 23, and 69, the remainder will be zero. These are the factors of 69 meaning that these numbers can divide 69 without any remainder.
Factors of 69:
69 ÷ 1 = 69
69 ÷ 3 = 23
69 ÷ 23 = 3
69 ÷ 69 = 1
Multiples of 69 Examples
Problem 1
A group of musicians is planning a concert tour. Each concert will have 69 songs on the playlist. If they plan to perform 5 concerts, how many songs will they perform in total?
345 songs
Explanation
Each concert includes 69 songs. To find the total number of songs for 5 concerts, multiply the number of concerts by the number of songs per concert.
Number of concerts = 5
Number of songs per concert = 69
69 × 5 = 345
Therefore, they will perform 345 songs in total.
Problem 2
A factory produces bicycles in lots. The first lot has 69 bicycles, the second lot has 138, and the third lot has 207. How many bicycles are there in total in these three lots?
414 bicycles
Explanation
The first lot has 69 bicycles, the second lot has 138, and the third lot has 207 bicycles. Add these to find the total number of bicycles.
69 + 138 + 207 = 414
Thus, there are 414 bicycles in total across the three lots.
Problem 3
In a large office building, there are 69 desks on each floor. If the building has 8 floors, how many desks are there in the entire building?
552 desks
Explanation
Each floor of the building has 69 desks. Multiply the number of floors by the number of desks on each floor to find the total.
Number of floors = 8
Number of desks per floor = 69
69 × 8 = 552
Therefore, there are 552 desks in the entire building.
Problem 4
A library is organizing its books into stacks. If each stack contains 69 books and there are 6 stacks in total, how many books does the library have in these stacks?
414 books
Explanation
Each stack has 69 books. Multiply the number of stacks by the number of books in each stack to find the total.
Number of stacks = 6
Number of books per stack = 69
69 × 6 = 414
So, the library has 414 books in these stacks.
Problem 5
A gardener is planting trees in rows. The first row contains 69 trees, the second row contains 138 trees, and the third row contains 207 trees. How many trees are there in total across all three rows?
414 trees.
Explanation
Add the number of trees in each row to find the total number of trees.
First row = 69 trees
Second row = 138 trees
Third row = 207 trees
69 + 138 + 207 = 414
Thus, there are 414 trees in total across all three rows.
FAQs on Multiples of 69
1.How do you find the multiples of 69?
2.What is the LCM of 6 and 69?
3.What are the real-life applications of Multiples of 69?
4.Are multiples of 69 finite or infinite?
5.Is there any odd multiple of 69?
6.How can poems help children in Thailand memorize the Multiplication Table and Multiples of 69?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 69 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 69?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 69 among early learners in Thailand?
Important Glossaries for Multiples of 69
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 69 include 69, 138, 207, 276, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 69 are the numbers that consist of the number pattern of 69.
- Odd number: An odd number refers to any number that cannot be divided by 2 without leaving a remainder. The last digits of odd numbers are 1, 3, 5, 7, or 9. Some multiples of 69 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 23, and 69 are the divisors of 69.
- Least Common Multiple (LCM): It is the smallest multiple that is exactly divisible by each of the numbers. For example, the LCM of 6 and 69 is 138.
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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
