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Last updated on March 28th, 2025

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Multiples of 174

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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 174.

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What are the Multiples of 174?

Now, let us learn more about multiples of 174. Multiples of 174 are the numbers you get when you multiply 174 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself. In multiplication, a multiple of 174 can be denoted as 174 × 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 174 × 1 will give us 174 as the product. Multiples of 174 will be larger or equal to 174.

multiples of 174

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List of First 20 Multiples of 174

Multiples of 174 include the products of 174 and an integer. Multiples of 174 are divisible by 174 evenly. The first few multiples of 174 are given below:
 

TABLE OF 174 (1-10)

174 x 1 = 174

174 x 6 = 1044

174 x 2 = 348

174 x 7 = 1218

174 x 3 = 522

174 x 8 = 1392

174 x 4 = 696

174 x 9 = 1566

174 x 5 = 870

174 x 10 = 1740

 

TABLE OF 174 (11-20)

174 x 11 = 1914

174 x 16 = 2784

174 x 12 = 2088

174 x 17 = 2958

174 x 13 = 2262

174 x 18 = 3132

174 x 14 = 2436

174 x 19 = 3306

174 x 15 = 2610

174 x 20 = 3480

 

Now, we know the first few multiples of 174. They are 0, 174, 348, 522, 696, 870, 1044, 1218, 1392, 1566, 1740,...
 

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Operations with Multiples of 174

Understanding the multiples of 174 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 174, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

Sum of First 5 Multiples of 174:

174, 348, 522, 696, and 870 are the first five multiples of 174. When multiplying 174 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:  
174 + 348 + 522 + 696 + 870 = 2610  
When we add the first 5 multiples of 174, the answer will be 2610.

Subtraction of First 5 Multiples of 174: 

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 174, 348, 522, 696, and 870 are the first five multiples of 174. So, let us calculate it as given below:  
174 - 348 = -174  
-174 - 522 = -696  
-696 - 696 = -1392  
-1392 - 870 = -2262  
Hence, the result of subtracting the first 5 multiples of 174 is -2262.

Average of First 5 Multiples of 174:

To calculate the average, we need to identify the sum of the first 5 multiples of 174 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 174 is 2610.  
174 + 348 + 522 + 696 + 870 = 2610  
Next, divide the sum by 5:  
2610 ÷ 5 = 522  
522 is the average of the first 5 multiples of 174.

Product of First 5 Multiples of 174:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 174 include: 174, 348, 522, 696, and 870. Now, the product of these numbers is:  
174 × 348 × 522 × 696 × 870 = 47,045,444,992,000  
The product of the first 5 multiples of 174 is 47,045,444,992,000.

Division of First 5 Multiples of 174:  

While we perform division, we get to know how many times 174 can fit into each of the given multiples. 174, 348, 522, 696, and 870 are the first 5 multiples of 174.  
174 ÷ 174 = 1  
348 ÷ 174 = 2  
522 ÷ 174 = 3  
696 ÷ 174 = 4  
870 ÷ 174 = 5  
The results of dividing the first 5 multiples of 174 are: 1, 2, 3, 4, and 5.
 

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Common Mistakes and How to Avoid Them in Multiples of 174

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Multiples of 174 Examples

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Problem 1

In a factory, each machine produces 174 widgets per day. The factory operates 7 machines. How many widgets does the factory produce in total per day?

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Explanation

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Problem 2

A library is organizing reading sessions where each session can accommodate 174 participants. If the library plans to hold 5 sessions, how many participants can attend in total?

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Explanation

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Problem 3

In an art gallery, each exhibit room can display 174 paintings. If there are 6 exhibit rooms, how many paintings can be displayed in total?

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Explanation

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Problem 4

A theater has rows of seats, each row containing 174 seats. If there are 8 rows, how many seats are there in total?

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Explanation

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Problem 5

A marathon event offers 174 energy bars at each checkpoint. If there are 3 checkpoints along the route, how many energy bars are distributed in total?

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Explanation

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FAQs on Multiples of 174

1.How do you find the multiples of 174?

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2.What is the LCM of 7 and 174?

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3.What are the real-life applications of Multiples of 174?

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4. Are multiples of 174 finite or infinite?  

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5.Is there any odd multiple of 174?

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Important Glossaries for Multiples of 174

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 174 include 174, 348, 522, 696, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 174 are the numbers that consist of the number pattern of 174.

 

  • 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 174 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 3, 6, 29, 58, 87, and 174 are the divisors of 174.

 

  • LCM (Least Common Multiple): The smallest number that is a multiple of two or more numbers. For example, the LCM of 7 and 174 is 1218.
     
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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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