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117 LearnersLast updated on February 11th, 2025
Multiples of 274
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 274.
What are the Multiples of 274?
Now, let us learn more about multiples of 274. Multiples of 274 are the numbers you get when you multiply 274 by any whole number, including zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 274 can be denoted as 274 × 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 274 × 1 will give us 274 as the product. Multiples of 274 will be larger or equal to 274.
List of First 20 Multiples of 274
Multiples of 274 include the products of 274 and an integer. Multiples of 274 are divisible by 274 evenly. The first few multiples of 274 are given below:
Now, we know the first few multiples of 274. They are 0, 274, 548, 822, 1096, 1370, 1644, 1918, 2192, 2466, 2740,...
Operations with Multiples of 274
Understanding the multiples of 274 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 274, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
Sum of First 5 Multiples of 274:
274, 548, 822, 1096, and 1370 are the first five multiples of 274. When multiplying 274 from 1 to 5, we get these numbers as the products.
So, the sum of these multiples is:
274 + 548 + 822 + 1096 + 1370 = 4110
When we add the first 5 multiples of 274, the answer will be 4110.
Subtraction of First 5 Multiples of 274:
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 274, 548, 822, 1096, and 1370 are the first five multiples of 274. So, let us calculate it as given below:
274 - 548 = -274
-274 - 822 = -1096
-1096 - 1096 = -2192
-2192 - 1370 = -3562
Hence, the result of subtracting the first 5 multiples of 274 is -3562.
Average of First 5 Multiples of 274:
To calculate the average, we need to identify the sum of the first 5 multiples of 274 and then divide it by the count, which is 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 274 is 4110.
274 + 548 + 822 + 1096 + 1370 = 4110
Next, divide the sum by 5:
4110 ÷ 5 = 822
822 is the average of the first 5 multiples of 274.
Product of First 5 Multiples of 274:
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 274 include: 274, 548, 822, 1096, and 1370. Now, the product of these numbers is:
274 × 548 × 822 × 1096 × 1370 = 178,579,062,560,000
The product of the first 5 multiples of 274 is 178,579,062,560,000.
Division of First 5 Multiples of 274:
While we perform division, we get to know how many times 274 can fit into each of the given multiples. 274, 548, 822, 1096, and 1370 are the first 5 multiples of 274.
274 ÷ 274 = 1
548 ÷ 274 = 2
822 ÷ 274 = 3
1096 ÷ 274 = 4
1370 ÷ 274 = 5
The results of dividing the first 5 multiples of 274 are: 1, 2, 3, 4, and 5.
Common Mistakes and How to Avoid Them in Multiples of 274
While working with multiples of 274, 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 274. 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 274 refer to the products we get while multiplying 274 with other numbers. For example, multiples of 274 include 0, 274, 548, 822, 1096, 1370, 1644, 1918, 2192, 2466, 2740,…
The factors of 274 are 1, 2, 137, and 274. When 274 is divided by 1, 2, 137, and 274, the remainder will be zero. These are the factors of 274, meaning that these numbers can divide 274 without any remainder.
Multiples of 274 Examples
Problem 1
Alex runs a car rental business. Each car rents for $274 per day. If a company rents 4 cars for a conference, how much will they pay in total for one day?
$1,096
Explanation
To find the total rental cost for 4 cars, multiply the rental cost of one car by the number of cars.
Rental cost per car = $274
Number of cars = 4
274 × 4 = $1,096
The company will pay $1,096 for one day.
Problem 2
Mia is setting up a new office. She buys desks in batches of 274. If she purchases the first three batches, how many desks will she have in total?
822 desks
Explanation
The first three multiples of 274 are 274, 548, and 822. To find the total number of desks, add these multiples.
274 × 1 = 274
274 × 2 = 548
274 × 3 = 822
Therefore, she will have 822 desks after purchasing the first three batches.
Problem 3
A farmer has 274 apple trees in an orchard. If each tree yields 274 apples, how many apples does the orchard produce in total?
75,076 apples
Explanation
To find the total number of apples, multiply the number of trees by the yield per tree.
Number of trees = 274
Number of apples per tree = 274
274 × 274 = 75,076
The orchard produces a total of 75,076 apples.
Problem 4
A factory produces 5 different types of gadgets, and each type is produced in batches of 274 units. How many gadgets are produced in total?
1,370 gadgets
Explanation
To find the total number of gadgets produced, multiply the number of types by the batch size.
Number of types = 5
Batch size per type = 274
5 × 274 = 1,370
A total of 1,370 gadgets are produced.
Problem 5
Lucy is organizing a charity run and expects 274 participants in each wave of runners. If there are three waves, how many participants are there in total?
822 participants
Explanation
To find the total number of participants, multiply the number of participants in each wave by the number of waves.
Participants per wave = 274
Number of waves = 3
274 × 3 = 822
Therefore, there are 822 participants in total.
FAQs on Multiples of 274
1.How do you find the multiples of 274?
2.What is the LCM of 137 and 274?
3.What are the real-life applications of Multiples of 274?
4.Are multiples of 274 finite or infinite?
5.Is there any odd multiple of 274?
Important Glossaries for Multiples of 274
- Multiple: A multiple represents the product of a number that may be multiplied by an integer. For example, multiples of 274 include 274, 548, 822, 1096, etc.
- Number pattern: This refers to how numbers are listed. It should follow a certain sequence. Multiples of 274 are the numbers that consist of the number pattern of 274.
- 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 274 are even numbers.
- Divisor: It refers to any number by which another number can be divided without leaving any remainder. 1, 2, 137, and 274 are the divisors of 274.
- LCM (Least Common Multiple): The smallest common multiple of two or more numbers. For instance, the LCM of 137 and 274 is 274.
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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.
Fun Fact
: She has songs for each table which helps her to remember the tables
