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Last updated on March 29th, 2025

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Multiples of 14

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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 14.

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What are the Multiples of 14?

Now, let us learn more about multiples of 14. Multiples of 14 are the numbers you get when you multiply 14 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.

 

In multiplication, a multiple of 14 can be denoted as 14 × 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 14 × 1 will give us 14 as the product. Multiples of 14 will be larger or equal to 14.

Multiples of 14
 

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List of First 20 Multiples of 14

Multiples of 14 include the products of 14 and an integer. Multiples of 14 are divisible by 14 evenly. The first few multiples of 14 are given below:

 

TABLE OF 14 (1-10)

14 x 1 = 14

14 x 6 = 84

14 x 2 = 28

14 x 7 = 98

14 x 3 = 42

14 x 8 = 112

14 x 4 = 56

14 x 9 = 126

14 x 5 = 70

14 x 10 = 140

 

TABLE OF 14 (11-20)

14 x 11 = 154

14 x 16 = 224

14 x 12 = 168

14 x 17 = 238

14 x 13 = 182

14 x 18 = 252

14 x 14 = 196

14 x 19 = 266

14 x 15 = 210

14 x 20 = 280

 

Now, we know the first few multiples of 14. They are, 0, 14, 28, 42, 56, 70, 84, 98, 112, 126, 140,...
 

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Operations with Multiples of 14

Understanding the multiples of 14 helps solve mathematical problems and boost our multiplication and division skills. When working with Multiples of 14, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 14

 

14, 28, 42, 56, and 70 are the first five multiples of 14. When multiplying 14 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:

 

14 + 28 + 42 + 56 + 70 = 210

 

When we add the first 5 multiples of 14, the answer will be 210.

 

Subtraction of First 5 Multiples of 14

 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 14, 28, 42, 56, and 70 are the first five multiples of 14. So, let us calculate it as given below:

 

14 - 28 = -14  
-14 - 42 = -56  
-56 - 56 = -112  
-112 - 70 = -182  

 

Hence, the result of subtracting the first 5 multiples of 14 is -182.

 

Average of First 5 Multiples of 14

 

To calculate the average, we need to identify the sum of the first 5 multiples of 14, 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 14 is 210.

 

14 + 28 + 42 + 56 + 70 = 210

 

Next, divide the sum by 5:

 

210 ÷ 5 = 42

 

42 is the average of the first 5 multiples of 14.

 

Product of First 5 Multiples of 14

 

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 14 include: 14, 28, 42, 56, and 70. Now, the product of these numbers is:

 

14 × 28 × 42 × 56 × 70 = 82,684,320

 

The product of the first 5 multiples of 14 is 82,684,320.

 

Division of First 5 Multiples of 14

 

While we perform division, we get to know how many times 14 can fit into each of the given multiples. 14, 28, 42, 56, and 70 are the first 5 multiples of 14.

 

14 ÷ 14 = 1  
28 ÷ 14 = 2  
42 ÷ 14 = 3  
56 ÷ 14 = 4  
70 ÷ 14 = 5  

 

The results of dividing the first 5 multiples of 14 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 14

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Multiples of 14 Examples

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Problem 1

Lily is organizing a set of paintings for an art exhibition. Each row in the gallery holds 14 paintings. If she organizes 5 rows of paintings, how many paintings are displayed in total?

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Explanation

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Problem 2

A gardener is planting fruit trees in a new orchard. He decides to plant them in sets of the first three multiples of 14. How many fruit trees does he plant in total?

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Explanation

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Problem 3

In a fitness class, there are 14 exercise stations. Each station is designed for 14 people. How many people can participate in the class at once?

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Explanation

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Problem 4

A toy company packs toy cars in boxes. Each box contains 7 shelves, and each shelf holds 14 toy cars. How many toy cars are there in one box?

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Explanation

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Problem 5

Sara is arranging her photo albums. The first album has 14 photos, the second has 28, and the third has 42 photos. How many photos are there in all three albums?

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Explanation

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FAQs on Multiples of 14

1.How do you find the multiples of 14?

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2.What is the LCM of 7 and 14?

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3.What are the real-life applications of Multiples of 14?

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4.Are multiples of 14 finite or infinite?

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5.Is there any odd multiple of 14?

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Important Glossaries for Multiples of 14

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 14 include 14, 28, 42, 56, etc.  
     
  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 14 are the numbers that consist of the number pattern of 14.  
     
  • Even number: An even number refers to any number that can be divided by 2 without leaving any remainder. The last digits of even numbers are 0, 2, 4, 6, or 8. All multiples of 14 are even numbers.
     
  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 7, and 14 are the divisors of 14.
     
  • Factor: A factor is a number that divides another number completely without leaving any remainder. For example, factors of 14 are 1, 2, 7, and 14.
     
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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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