101 LearnersLast updated on May 26th, 2025
Factors of 2340
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 2340, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2340?
The numbers that divide 2340 evenly are known as factors of 2340.
A factor of 2340 is a number that divides the number without remainder.
The factors of 2340 include 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, and 2340.
Negative factors of 2340: -1, -2, -3, -4, -5, -6, -9, -10, -12, -13, -15, -18, -20, -26, -30, -36, -39, -45, -52, -60, -65, -78, -90, -117, -130, -156, -180, -195, -234, -260, -390, -468, -585, -780, -1170, and -2340.
Prime factors of 2340: 2, 3, 5, and 13.
Prime factorization of 2340: 2^2 × 3^2 × 5 × 13.
The sum of factors of 2340: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 26 + 30 + 36 + 39 + 45 + 52 + 60 + 65 + 78 + 90 + 117 + 130 + 156 + 180 + 195 + 234 + 260 + 390 + 468 + 585 + 780 + 1170 + 2340 = 7440.
How to Find Factors of 2340?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 2340. Identifying the numbers which are multiplied to get the number 2340 is the multiplication method.
Step 1: Multiply 2340 by 1, 2340 × 1 = 2340.
Step 2: Check for other numbers that give 2340 after multiplying.
2 × 1170 = 2340
3 × 780 = 2340
4 × 585 = 2340
5 × 468 = 2340
6 × 390 = 2340
9 × 260 = 2340
10 × 234 = 2340
12 × 195 = 2340
13 × 180 = 2340
15 × 156 = 2340
18 × 130 = 2340
20 × 117 = 2340
26 × 90 = 2340
30 × 78 = 2340
36 × 65 = 2340
39 × 60 = 2340
45 × 52 = 2340
Therefore, the positive factor pairs of 2340 are: (1, 2340), (2, 1170), (3, 780), (4, 585), (5, 468), (6, 390), (9, 260), (10, 234), (12, 195), (13, 180), (15, 156), (18, 130), (20, 117), (26, 90), (30, 78), (36, 65), (39, 60), and (45, 52).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2340 by 1, 2340 ÷ 1 = 2340.
Step 2: Continue dividing 2340 by the numbers until the remainder becomes 0.
2340 ÷ 1 = 2340
2340 ÷ 2 = 1170
2340 ÷ 3 = 780
2340 ÷ 4 = 585
2340 ÷ 5 = 468
2340 ÷ 6 = 390
2340 ÷ 9 = 260
2340 ÷ 10 = 234
2340 ÷ 12 = 195
2340 ÷ 13 = 180
2340 ÷ 15 = 156
2340 ÷ 18 = 130
2340 ÷ 20 = 117
2340 ÷ 26 = 90
2340 ÷ 30 = 78
2340 ÷ 36 = 65
2340 ÷ 39 = 60
2340 ÷ 45 = 52
Therefore, the factors of 2340 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, and 2340.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 2340 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2340 ÷ 2 = 1170
1170 ÷ 2 = 585
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
The prime factors of 2340 are 2, 3, 5, and 13.
The prime factorization of 2340 is: 2^2 × 3^2 × 5 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 2340 is divided by 2 to get 1170.
Step 2: Now divide 1170 by 2 to get 585.
Step 3: Then divide 585 by 3 to get 195.
Step 4: Divide 195 by 3 to get 65. Step 5: Divide 65 by 5 to get 13.
Here, 13 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 2340 is: 2^2 × 3^2 × 5 × 13.
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 2340: (1, 2340), (2, 1170), (3, 780), (4, 585), (5, 468), (6, 390), (9, 260), (10, 234), (12, 195), (13, 180), (15, 156), (18, 130), (20, 117), (26, 90), (30, 78), (36, 65), (39, 60), and (45, 52).
Negative factor pairs of 2340: (-1, -2340), (-2, -1170), (-3, -780), (-4, -585), (-5, -468), (-6, -390), (-9, -260), (-10, -234), (-12, -195), (-13, -180), (-15, -156), (-18, -130), (-20, -117), (-26, -90), (-30, -78), (-36, -65), (-39, -60), and (-45, -52).
Common Mistakes and How to Avoid Them in Factors of 2340
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 2340, 1 and 2340 are also factors.
Factors of 2340 Examples
Problem 1
There are 13 teams and 2340 points to distribute equally among them. How many points will each team get?
Each team will get 180 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
2340/13 = 180
Problem 2
A rectangular swimming pool has a length of 78 meters, and the total area is 2340 square meters. Find the width.
30 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
2340 = 78 × width
To find the value of width, we need to shift 78 to the left side.
2340/78 = width
Width = 30.
Problem 3
There are 6 buses and 2340 students. How many students will be in each bus?
Each bus will have 390 students.
Explanation
To find the number of students in each bus, divide the total students by the buses.
2340/6 = 390
Problem 4
A company has 2340 products and 26 warehouses. How many products are there in each warehouse?
There are 90 products in each warehouse.
Explanation
Dividing the products by the total warehouses, we will get the number of products in each warehouse.
2340/26 = 90
Problem 5
2340 books need to be arranged in 18 shelves. How many books will go on each shelf?
Each of the shelves has 130 books.
Explanation
Divide total books by shelves.
2340/18 = 130
FAQs on Factors of 2340
1.What are the factors of 2340?
2.Mention the prime factors of 2340.
3.Is 2340 a multiple of 9?
4.Mention the factor pairs of 2340?
5.What is the square of 2340?
6.How can children in United States use numbers in everyday life to understand Factors of 2340?
7.What are some fun ways kids in United States can practice Factors of 2340 with numbers?
8.What role do numbers and Factors of 2340 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 2340 skills?
Important Glossaries for Factors of 2340
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, and 2340.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 13 are the prime factors of 2340.
- 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 2340 are (1, 2340), (2, 1170), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 2340 is 2^2 × 3^2 × 5 × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 2340 is a multiple of 9.
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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.
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