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Last updated on March 29th, 2025

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Multiples of 345

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Foundation
Intermediate
Advance Topics

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.

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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. multiples of 345

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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,...

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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.

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Common Mistakes and How to Avoid Them in Multiples of 345

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Multiples of 345 Examples

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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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?

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Explanation

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FAQs on Multiples of 345

1.How do you find the multiples of 345?

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2.What is the LCM of 345 and 690?

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3.What are the real-life applications of Multiples of 345?

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4.Are multiples of 345 finite or infinite?

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5.Is there any odd multiples of 345?

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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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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.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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