204 LearnersLast updated on May 26th, 2025
Multiples of 345
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 345.
What are the Multiples of 345?
Now, let us learn more about multiples of 345. Multiples of 345 are the numbers you get when you multiply 345 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 345 can be denoted as 345 × 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 345 × 1 will give us 345 as the product. Multiples of 345 will be larger or equal to 345. 
List of First 20 Multiples of 345
Multiples of 345 include the products of 345 and an integer. Multiples of 345 are divisible by 345 evenly. The first few multiples of 345 are given below:
| TABLE OF 345 (1-10) | |
|---|---|
|
345 x 1 = 345 |
345 x 6 = 2070 |
|
345 x 2 = 690 |
345 x 7 = 2415 |
|
345 x 3 = 1035 |
345 x 8 = 2760 |
|
345 x 4 = 1380 |
345 x 9 = 3105 |
|
345 x 5 = 1725 |
345 x 10 = 3450 |
| TABLE OF 345 (11-20) | |
|---|---|
|
345 x 11 = 3795 |
345 x 16 = 5520 |
|
345 x 12 = 4140 |
345 x 17 = 5865 |
|
345 x 13 = 4485 |
345 x 18 = 6210 |
|
345 x 14 = 4830 |
345 x 19 = 6555 |
|
345 x 15 = 5175 |
345 x 20 = 6900 |
Now, we know the first few multiples of 345. They are 0, 345, 690, 1035, 1380, 1725, 2070, 2415, 2760, 3105, 3450,...
Operations with Multiples of 345
Understanding the multiples of 345 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 345, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 345:
345, 690, 1035, 1380, and 1725 are the first five multiples of 345. When multiplying 345 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
345 + 690 + 1035 + 1380 + 1725 = 5175
When we add the first 5 multiples of 345, the answer will be 5175.
Subtraction of First 5 Multiples of 345:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 345, 690, 1035, 1380, and 1725 are the first five multiples of 345. So, let us calculate it as given below:
345 - 690 = -345
-345 - 1035 = -1380
-1380 - 1380 = -2760
-2760 - 1725 = -4485
Hence, the result of subtracting the first 5 multiples of 345 is -4485.
Average of First 5 Multiples of 345:
To calculate the average, we need to identify the sum of the first 5 multiples of 345, 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 345 is 5175.
345 + 690 + 1035 + 1380 + 1725 = 5175
Next, divide the sum by 5:
5175 ÷ 5 = 1035
1035 is the average of the first 5 multiples of 345.
Product of First 5 Multiples of 345:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 345 include: 345, 690, 1035, 1380, and 1725. Now, the product of these numbers is:
345 × 690 × 1035 × 1380 × 1725 = 558,545,796,250
The product of the first 5 multiples of 345 is 558,545,796,250.
Division of First 5 Multiples of 345:
While we perform division, we get to know how many times 345 can fit into each of the given multiples. 345, 690, 1035, 1380, and 1725 are the first 5 multiples of 345.
345 ÷ 345 = 1
690 ÷ 345 = 2
1035 ÷ 345 = 3
1380 ÷ 345 = 4
1725 ÷ 345 = 5
The results of dividing the first 5 multiples of 345 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 345
While working with multiples of 345, 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 345. 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 345 refer to the products we get while multiplying 345 with other numbers. For example, multiples of 345 include 0, 345, 690, 1035, 1380, 1725, 2070, 2415, 2760, 3105, 3450….
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, and 345. When 345 is divided by these numbers, the remainder will be zero. These are the factors of 345 meaning that these numbers can divide 345 without any remainder.
Factors of 345:
345 ÷ 1 = 345
345 ÷ 3 = 115
345 ÷ 5 = 69
345 ÷ 15 = 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 345 include 345, 690, 1035, 1380, 1725, 2070, …..3450, 3795,...
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 345, the result will still be a multiple of 345. For example, children may write,
345 + 690 = 1034, (which is wrong and the correct answer is 1035)
This is incorrect because 1034 is not a multiple of 345. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 345.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 345, and any other number, is zero, it has a valid value. Remember this:
345 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 345 + 345 + 345 + 345 + 345. Instead of adding too many values, use multiplication. Calculate 345 × n for the nth multiple.
For example, instead of 345 + 345 + 345 + 345 + 345, calculate it as given below:
345 × 5 = 1725
Multiples of 345 Examples
Problem 1
Emma is organizing a charity event where she aims to prepare gift baskets. Each basket contains 345 items, and she plans to make as many baskets as she can over 5 days. How many items will Emma need to prepare all the baskets?
1,725 items
Explanation
Each day, Emma prepares enough items for one basket. To find the total number of items needed after 5 days, multiply 345 by 5.
Items per basket = 345
Number of days = 5
345 × 5 = 1,725
Emma will need 1,725 items to prepare all the baskets.
Problem 2
A local art gallery hosts an exhibition where each artist displays 345 pieces of art. If there are three artists participating, how many pieces of art are displayed in total?
1,035 pieces of art
Explanation
Each artist displays 345 pieces. Multiply 345 by the number of artists to find the total pieces displayed.
Pieces per artist = 345
Number of artists = 3
345 × 3 = 1,035
A total of 1,035 pieces of art are displayed.
Problem 3
In a marathon event, participants run a relay where each segment is 345 meters long. If the marathon consists of 10 segments, what is the total distance covered?
3,450 meters
Explanation
Each segment is 345 meters. Multiply the length of one segment by the number of segments to find the total distance.
Meters per segment = 345
Number of segments = 10
345 × 10 = 3,450
The total distance covered is 3,450 meters.
Problem 4
A factory produces 345 gadgets each hour. If the factory operates for 7 hours in a day, how many gadgets are produced in a day?
2,415 gadgets
Explanation
The factory produces 345 gadgets per hour. Multiply the hourly production by the number of hours to find the daily production.
Gadgets per hour = 345
Number of hours = 7
345 × 7 = 2,415
The factory produces 2,415 gadgets in a day.
Problem 5
Lucas is stacking boxes in a warehouse. Each stack contains 345 boxes. If he creates 4 stacks, how many boxes are there in total?
1,380 boxes
Explanation
Each stack contains 345 boxes. Multiply the number of boxes per stack by the number of stacks.
Boxes per stack = 345
Number of stacks = 4
345 × 4 = 1,380
There are 1,380 boxes in total.
FAQs on Multiples of 345
1.How do you find the multiples of 345?
2.What is the LCM of 345 and 690?
3.What are the real-life applications of Multiples of 345?
4.Are multiples of 345 finite or infinite?
5.Is there any odd multiples of 345?
6.How can poems help children in Vietnam memorize the Multiplication Table and Multiples of 345?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 345 challenges for kids in Vietnam?
8.How do language and cultural differences in Vietnam affect the way children learn the Multiplication Table and Multiples of 345?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 345 among early learners in Vietnam?
Important Glossaries for Multiples of 345
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 345 include 345, 690, 1035, 1380, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 345 are the numbers that consist of the number pattern of 345.
- 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. Many multiples of 345 are odd numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 3, 5, 15, 23, 69, 115, and 345 are the divisors of 345.
- LCM: The Least Common Multiple is the smallest number that is a multiple of two or more numbers. For example, the LCM of 345 and 690 is 690.
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About BrightChamps in Vietnam
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
