156 LearnersLast updated on May 26th, 2025
Multiples of 74
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.
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.
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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,...
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.
Common Mistakes and How to Avoid Them in Multiples of 74
While working with multiples of 74, 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
Confusing Multiples with Factors
Sometimes, students get confused between the multiples and factors of 74. 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 74 refer to the products we get while multiplying 74 with other numbers. For example, multiples of 74 include 0, 74, 148, 222, 296, 370, 444, 518, 592, 666, 740…
The factors of 74 are 1, 2, 37, and 74. When 74 is divided by 1, 2, 37, and 74, the remainder will be zero. These are the factors of 74 meaning that these numbers can divide 74 without any remainder.
Factors of 74:
74 ÷ 1 = 74
74 ÷ 2 = 37
74 ÷ 37 = 2
74 ÷ 74 = 1
Mistake 2
Skipping Multiples while Listing
Be careful when listing each multiple in the sequence. Otherwise, it may lead to incorrect calculations and results. Children sometimes skip multiples when writing them. To clearly understand the issue, take a look at this:
Multiples of 74 include 74, 148, 222, 296, 370, 444, …..740, 814,...
If children do this, they may get confused and mix up the sequential order. So, maintain a consistent order by including each multiple.
Mistake 3
Forgetting to Check the Results with Multiplication
If you are adding or subtracting multiples of 74, the result will still be a multiple of 74. For example, children may write,
74 + 148 = 223, (which is wrong and the correct answer is 222)
This is incorrect because 223 is not a multiple of 74. The same applies to subtraction. When you are adding or subtracting, ensure that the results are multiples of 74.
Mistake 4
Ignoring the Concept of Zero
Don’t forget that zero is a multiple of every number. The very first multiple of 74, and any other number, is zero, it has a valid value. Remember this:
74 × 0 = 0
Mistake 5
Using Addition Instead of Multiplication
Apply multiplication for calculations and check the results for accuracy. Sometimes, children may incorrectly add 74 + 74 + 74 + 74 + 74. Instead of adding too many values, use multiplication. Calculate 74 × n for the nth multiple.
For example, instead of 74 + 74 + 74 + 74 + 74, calculate it as given below: 74 × 5 = 370
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Multiples of 74 Examples
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?
$1,110
Explanation
Each month, each member donates $74. To find the total donation after 3 months, multiply the monthly donation by the number of team members and the number of months.
Donation per member per month = $74
Number of members = 5
Number of months = 3
74 × 5 × 3 = 1,110
They will have donated $1,110 after 3 months.
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?
The first three multiples of 74 are 74, 148, and 222. Riya built 74 kits, Alex built 148 kits, and Sam built 222 kits.
Explanation
Identify the first three multiples of 74:
74 × 1 = 74
74 × 2 = 148
74 × 3 = 222
Hence, Riya built 74 kits, Alex built 148 kits, and Sam built 222 kits.
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?
5,476 students
Explanation
To find the total student capacity, multiply the number of classrooms by the number of students each can accommodate.
Number of classrooms = 74
Number of students per classroom = 74
74 × 74 = 5,476
Therefore, the total student capacity of the school is 5,476 students.
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?
740 paintings
Explanation
To find the total number of paintings, multiply the number of panels by the number of paintings on each panel.
Number of panels = 10
Number of paintings per panel = 74
10 × 74 = 740
So, there are 740 paintings in total at the exhibition.
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?
444 comics
Explanation
The first shelf has 74 comics, the second has 148 comics, and the third has 222 comics. Add these to find the total:
74 + 148 + 222 = 444
Therefore, Max has a total of 444 comics on the three shelves.
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FAQs on Multiples of 74
1.How do you find the multiples of 74?
2.What is the LCM of 74 and 37?
3.What are the real-life applications of Multiples of 74?
4.Are multiples of 74 finite or infinite?
5.Is there any odd multiple of 74?
6.How can poems help children in United States memorize the Multiplication Table and Multiples of 74?
7.Can learning the Multiplication Table influence creativity in solving Multiples of 74 challenges for kids in United States?
8.How do language and cultural differences in United States affect the way children learn the Multiplication Table and Multiples of 74?
9.What role does brain development play in mastering the Multiplication Table and Multiples of 74 among early learners in United States?
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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 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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