122 LearnersLast updated on May 26th, 2025
Factors of 1374
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1374, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1374?
The numbers that divide 1374 evenly are known as factors of 1374.
A factor of 1374 is a number that divides the number without remainder.
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, and 1374.
Negative factors of 1374: -1, -2, -3, -6, -229, -458, -687, and -1374.
Prime factors of 1374: 2, 3, and 229.
Prime factorization of 1374: 2 × 3 × 229.
The sum of factors of 1374: 1 + 2 + 3 + 6 + 229 + 458 + 687 + 1374 = 2760
How to Find Factors of 1374?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1374. Identifying the numbers which are multiplied to get the number 1374 is the multiplication method.
Step 1: Multiply 1374 by 1, 1374 × 1 = 1374.
Step 2: Check for other numbers that give 1374 after multiplying
2 × 687 = 1374
3 × 458 = 1374
6 × 229 = 1374
Therefore, the positive factor pairs of 1374 are: (1, 1374), (2, 687), (3, 458), and (6, 229).
All these factor pairs result in 1374.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1374 by 1, 1374 ÷ 1 = 1374.
Step 2: Continue dividing 1374 by the numbers until the remainder becomes 0.
1374 ÷ 1 = 1374
1374 ÷ 2 = 687
1374 ÷ 3 = 458
1374 ÷ 6 = 229
Therefore, the factors of 1374 are: 1, 2, 3, 6, 229, 458, 687, and 1374.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1374 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1374 ÷ 2 = 687
687 ÷ 3 = 229
229 is a prime number and cannot be divided further.
The prime factors of 1374 are 2, 3, and 229.
The prime factorization of 1374 is: 2 × 3 × 229.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1374 is divided by 2 to get 687.
Step 2: Now divide 687 by 3 to get 229. Here, 229 is a prime number, that cannot be divided anymore. So, the prime factorization of 1374 is: 2 × 3 × 229.
Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1374: (1, 1374), (2, 687), (3, 458), and (6, 229).
Negative factor pairs of 1374: (-1, -1374), (-2, -687), (-3, -458), and (-6, -229).
Common Mistakes and How to Avoid Them in Factors of 1374
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1374, 1 and 1374 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1374 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1374/1.5 does not result in a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not only just primes.
For example, thinking all the factors of 1374 are prime numbers.
For example, 2, 3, and 229 are the prime factors of 1374, but it has other factors like 6, 458.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 1374 as 2 × 3 × 229 and missing all the key factors.
Factors of 1374 Examples
Problem 1
A book club has 6 members and 1374 pages to read. If they divide the pages equally, how many pages will each member read?
Each member will read 229 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of members.
1374/6 = 229
Problem 2
A rectangular garden has a length of 229 meters and a total area of 1374 square meters. Find the width of the garden.
6 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1374 = 229 × width
To find the value of width, we need to shift 229 to the left side.
1374/229 = width
Width = 6.
Problem 3
There are 3 trucks and 1374 boxes to be loaded. How many boxes will go into each truck?
Each truck will have 458 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
1374/3 = 458
Problem 4
In a conference, there are 1374 attendees, and 2 auditoriums. How many attendees are there in each auditorium?
There are 687 attendees in each auditorium.
Explanation
Dividing the attendees by the total auditoriums, we will get the number of attendees in each auditorium.
1374/2 = 687
Problem 5
1374 books need to be arranged in 3 libraries. How many books will go in each library?
Each library will have 458 books.
Explanation
Divide total books by libraries.
1374/3 = 458
FAQs on Factors of 1374
1.What are the factors of 1374?
2.Mention the prime factors of 1374.
3.Is 1374 a multiple of 3?
4.Mention the factor pairs of 1374?
5.What is the square of 1374?
Important Glossaries for Factor of 1374
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1374 are 1, 2, 3, 6, 229, 458, 687, and 1374.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 229 are prime factors of 1374.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1374 are (1, 1374), (2, 687), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1374 is 2 × 3 × 229.
- Multiple: A number that can be divided by another number without a remainder. For example, 1374 is a multiple of 3.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
