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Last updated on March 29th, 2025

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Multiples of 74

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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 74.

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What are the Multiples of 74?

Now, let us learn more about multiples of 74. Multiples of 74 are the numbers you get when you multiply 74 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 74 can be denoted as 74 × 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 74 × 1 will give us 74 as the product. Multiples of 74 will be larger or equal to 74.

Multiples of 74
 

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List of First 20 Multiples of 74

Multiples of 74 include the products of 74 and an integer. Multiples of 74 are divisible by 74 evenly. The first few multiples of 74 are given below:

 

TABLE OF 74 (1-10)

74 x 1 = 74

74 x 6 = 444

74 x 2 = 148

74 x 7 = 518

74 x 3 = 222

74 x 8 = 592

74 x 4 = 296

74 x 9 = 666

74 x 5 = 370

74 x 10 = 740

 

TABLE OF 74 (11-20)

74 x 11 = 814

74 x 16 = 1184

74 x 12 = 888

74 x 17 = 1258

74 x 13 = 962

74 x 18 = 1332

74 x 14 = 1036

74 x 19 = 1406

74 x 15 = 1110

74 x 20 = 1480

 

Now, we know the first few multiples of 74. They are 0, 74, 148, 222, 296, 370, 444, 518, 592, 666, 740,...

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Operations with Multiples of 74

Understanding the multiples of 74 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 74, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.

 

Sum of First 5 Multiples of 74:

74, 148, 222, 296, and 370 are the first five multiples of 74. When multiplying 74 from 1 to 5, we get these numbers as the products.  
So, the sum of these multiples is:
74 + 148 + 222 + 296 + 370 = 1110
When we add the first 5 multiples of 74 the answer will be 1110.

 

Subtraction of First 5 Multiples of 74:

While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 74, 148, 222, 296, and 370 are the first five multiples of 74. So, let us calculate it as given below:
74 - 148 = -74
-74 - 222 = -296
-296 - 296 = -592
-592 - 370 = -962
Hence, the result of subtracting the first 5 multiples of 74 is -962.

 

Average of First 5 Multiples of 74:

To calculate the average, we need to identify the sum of the first 5 multiples of 74, and then divide it by the count, i.e., 5. Because there are 5 multiples present in the calculation. Averaging helps us understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 74 is 1110.
74 + 148 + 222 + 296 + 370 = 1110
Next, divide the sum by 5:
1110 ÷ 5 = 222
222 is the average of the first 5 multiples of 74.

 

Product of First 5 Multiples of 74:

The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 74 include 74, 148, 222, 296, and 370. Now, the product of these numbers is:
74 × 148 × 222 × 296 × 370 = 4,559,373,280
The product of the first 5 multiples of 74 is 4,559,373,280.

 

Division of First 5 Multiples of 74:

While we perform division, we get to know how many times 74 can fit into each of the given multiples. 74, 148, 222, 296, and 370 are the first 5 multiples of 74.
74 ÷ 74 = 1
148 ÷ 74 = 2
222 ÷ 74 = 3
296 ÷ 74 = 4
370 ÷ 74 = 5    
The results of dividing the first 5 multiples of 74 are: 1, 2, 3, 4, and 5.

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Common Mistakes and How to Avoid Them in Multiples of 74

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Multiples of 74 Examples

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Problem 1

Lily and her team are organizing a charity fundraiser. Each team member donates $74 each month to the fund. If the team consists of 5 members, how much money will they have donated after 3 months?

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Explanation

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Problem 2

In a robotics workshop, Riya, Alex, and Sam are building robotic kits. They build kits in the order of the first three multiples of 74. How many robotic kits did each of them build according to this sequence?

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Explanation

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Problem 3

A new school is being built with 74 classrooms. Each classroom is designed to accommodate 74 students. What is the total student capacity of the school?

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Explanation

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Problem 4

David is organizing a painting exhibition. He has 10 panels, and each panel displays 74 paintings. How many paintings are there in total at the exhibition?

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Explanation

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Problem 5

Max is sorting his comic book collection. He places 74 comics on the first shelf, 148 comics on the second shelf, and 222 comics on the third shelf. How many comics does he have in total on these three shelves?

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Explanation

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FAQs on Multiples of 74

1.How do you find the multiples of 74?

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2.What is the LCM of 74 and 37?

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3.What are the real-life applications of Multiples of 74?

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4.Are multiples of 74 finite or infinite?

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5.Is there any odd multiple of 74?

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Important Glossaries for Multiples of 74

  • Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 74 include 74, 148, 222, 296, etc.

 

  • Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 74 are the numbers that consist of the number pattern of 74.

 

  • 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 74 are even numbers.

 

  • Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 37, and 74 are the divisors of 74.

 

  • Infinite: Refers to the concept that there is no end or limit. There are infinite multiples of any given number, including 74.
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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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