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Last updated on May 26th, 2025

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Multiples of 350

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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 350.

Multiples of 350 for Vietnamese Students
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What are the Multiples of 350?

Now, let us learn more about multiples of 350. Multiples of 350 are the numbers you get when you multiply 350 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 350 can be denoted as 350 × 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 350 × 1 will give us 350 as the product. Multiples of 350 will be larger or equal to 350.multiples of 350

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List of First 20 Multiples of 350

Multiples of 350 include the products of 350 and an integer. Multiples of 350 are divisible by 350 evenly. The first few multiples of 350 are given below:

 

TABLE OF 350 (1-10)

350 x 1 = 350

350 x 6 = 2100

350 x 2 = 700

350 x 7 = 2450

350 x 3 = 1050

350 x 8 = 2800

350 x 4 = 1400

350 x 9 = 3150

350 x 5 = 1750

350 x 10 = 3500

 

TABLE OF 350 (11-20)

350 x 11 = 3850

350 x 16 = 5600

350 x 12 = 4200

350 x 17 = 5950

350 x 13 = 4550

350 x 18 = 6300

350 x 14 = 4900

350 x 19 = 6650

350 x 15 = 5250

350 x 20 = 7000

  

Now, we know the first few multiples of 350. They are 0, 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500,...

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Operations with Multiples of 350

Understanding the multiples of 350 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 350, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of first 5 Multiples of 350:

 

350, 700, 1050, 1400, and 1750 are the first five multiples of 350. When multiplying 350 from 1 to 5 we get these numbers as the products.  


So, the sum of these multiples is:  


350 + 700 + 1050 + 1400 + 1750 = 5250  


When we add the first 5 multiples of 350, the answer will be 5250.

 

Subtraction of first 5 Multiples of 350:

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 350, 700, 1050, 1400, and 1750 are the first five multiples of 350. So, let us calculate it as given below:  


350 - 700 = -350  
-350 - 1050 = -1400  
-1400 - 1400 = -2800  
-2800 - 1750 = -4550  


Hence, the result of subtracting the first 5 multiples of 350 is -4550.

 

Average of first 5 Multiples of 350:

 

To calculate the average, we need to identify the sum of the first 5 multiples of 350, 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 350 is 5250.  


350 + 700 + 1050 + 1400 + 1750 = 5250  


Next, divide the sum by 5:  


5250 ÷ 5 = 1050  


1050 is the average of the first 5 multiples of 350.

 

Product of First 5 Multiples of 350:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 350 include: 350, 700, 1050, 1400, and 1750. Now, the product of these numbers is:  


350 × 700 × 1050 × 1400 × 1750 = 854,700,000,000,000  


The product of the first 5 multiples of 350 is 854,700,000,000,000.

 

Division of First 5 Multiples of 350:

 

While we perform division, we get to know how many times 350 can fit into each of the given multiples. 350, 700, 1050, 1400, and 1750 are the first 5 multiples of 350.  


350 ÷ 350 = 1  
700 ÷ 350 = 2  
1050 ÷ 350 = 3  
1400 ÷ 350 = 4  
1750 ÷ 350 = 5  


The results of dividing the first 5 multiples of 350 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 350

While working with multiples of 350, 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

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Confusing Multiples with Factors

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Sometimes, students get confused between the multiples and factors of 350. 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 350 refer to the products we get while multiplying 350 with other numbers. For example, multiples of 350 include 0, 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500….  


The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350. When 350 is divided by these numbers, the remainder will be zero. These are the factors of 350 meaning that these numbers can divide 350 without any remainder.

 

Factors of 350:  
350 ÷ 1 = 350  
350 ÷ 2 = 175  
350 ÷ 5 = 70  
350 ÷ 7 = 50  
350 ÷ 10 = 35  
350 ÷ 14 = 25  
350 ÷ 25 = 14  
350 ÷ 35 = 10  
350 ÷ 50 = 7  
350 ÷ 70 = 5  
350 ÷ 175 = 2  
350 ÷ 350 = 1

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Multiples of 350 Examples

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Problem 1

Sarah is organizing a charity event where she plans to distribute gift hampers. Each gift hamper contains 350 items. If she prepares hampers for 6 such events, how many items will she distribute in total?

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2100 items

Explanation

Each event has 350 items in the gift hampers. To find the total number of items for 6 events, we multiply 350 by 6.  

Items per event = 350  

Number of events = 6  

350 × 6 = 2100  

Therefore, Sarah will distribute 2100 items in total.

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Problem 2

A fleet of trucks is designed to transport goods to various locations. Each truck can carry a load of 350 kilograms. If 5 trucks are loaded to full capacity, what is the total weight of goods being transported?

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1750 kilograms

Explanation

Each truck carries 350 kilograms. For 5 trucks, we multiply 350 by 5 to find the total weight.  

Load per truck = 350 kg  

Number of trucks = 5  

350 × 5 = 1750  

Hence, the total weight of goods transported is 1750 kilograms.

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Problem 3

In a factory, production batches are scheduled to run every 350 minutes. If the factory operates continuously for a day (24 hours), how many batches are completed in that time?

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4 batches

Explanation

First, convert 24 hours into minutes (24 × 60 = 1440 minutes). Then, divide the total minutes by the time per batch to find the number of batches.  

Total minutes in a day = 1440  

Minutes per batch = 350  

1440 ÷ 350 ≈ 4.11  

Therefore, the factory completes 4 full batches in a day.

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Max, the Girl Character from BrightChamps

Problem 4

A shipping company charges based on multiples of 350 miles for long-distance deliveries. If a delivery route spans 2100 miles, how many chargeable units are there?

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6 units

Explanation

To determine the number of chargeable units, divide the total miles by the miles per unit.  

Total miles = 2100  

Miles per chargeable unit = 350  

2100 ÷ 350 = 6  

Therefore, there are 6 chargeable units for the delivery.

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Max, the Girl Character from BrightChamps

Problem 5

A conference center has a seating arrangement that can accommodate 350 people per hall. If the center has 7 halls, what is the total seating capacity?

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2450 people

Explanation

Each hall has a seating capacity of 350 people. Multiply this by the number of halls to find the total capacity.

Capacity per hall = 350  

Number of halls = 7  

350 × 7 = 2450  

Therefore, the total seating capacity of the conference center is 2450 people.

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FAQs on Multiples of 350

1.How do you find the multiples of 350?

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2.What is the LCM of 7 and 350?

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3.What are the real-life applications of Multiples of 350?

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4.Are multiples of 350 finite or infinite?

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5.Is there any odd multiple of 350?

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Important Glossaries for Multiples of 350

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 350 include 350, 700, 1050, 1400, etc.
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 350 are the numbers that consist of the number pattern of 350.
     
  • 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 350 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350 are the divisors of 350.
     
  • LCM (Least Common Multiple): The smallest positive number that is a multiple of two or more numbers. For instance, the LCM of 7 and 350 is 350.
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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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