101 LearnersLast updated on May 26th, 2025
Factors of 2040
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 2040, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2040?
The numbers that divide 2040 evenly are known as factors of 2040.
A factor of 2040 is a number that divides the number without remainder.
The factors of 2040 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, and 2040.
Negative factors of 2040: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -17, -20, -24, -30, -34, -40, -51, -60, -68, -85, -102, -120, -136, -170, -204, -255, -340, -408, -510, -680, -1020, and -2040.
Prime factors of 2040: 2, 3, 5, and 17.
Prime factorization of 2040: 2³ × 3 × 5 × 17.
The sum of factors of 2040: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 17 + 20 + 24 + 30 + 34 + 40 + 51 + 60 + 68 + 85 + 102 + 120 + 136 + 170 + 204 + 255 + 340 + 408 + 510 + 680 + 1020 + 2040 = 6552
How to Find Factors of 2040?
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 2040. Identifying the numbers which are multiplied to get the number 2040 is the multiplication method.
Step 1: Multiply 2040 by 1, 2040 × 1 = 2040.
Step 2: Check for other numbers that give 2040 after multiplying
2 × 1020 = 2040
3 × 680 = 2040
4 × 510 = 2040
5 × 408 = 2040
6 × 340 = 2040
8 × 255 = 2040
10 × 204 = 2040
12 × 170 = 2040
15 × 136 = 2040
17 × 120 = 2040
20 × 102 = 2040
24 × 85 = 2040
30 × 68 = 2040
34 × 60 = 2040
40 × 51 = 2040
Therefore, the positive factor pairs of 2040 are: (1, 2040), (2, 1020), (3, 680), (4, 510), (5, 408), (6, 340), (8, 255), (10, 204), (12, 170), (15, 136), (17, 120), (20, 102), (24, 85), (30, 68), (34, 60), (40, 51).
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 in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 2040 by 1, 2040 ÷ 1 = 2040.
Step 2: Continue dividing 2040 by the numbers until the remainder becomes 0.
2040 ÷ 1 = 2040
2040 ÷ 2 = 1020
2040 ÷ 3 = 680
2040 ÷ 4 = 510
2040 ÷ 5 = 408
2040 ÷ 6 = 340
2040 ÷ 8 = 255
2040 ÷ 10 = 204
2040 ÷ 12 = 170
2040 ÷ 15 = 136
2040 ÷ 17 = 120
2040 ÷ 20 = 102
2040 ÷ 24 = 85
2040 ÷ 30 = 68
2040 ÷ 34 = 60
2040 ÷ 40 = 51
Therefore, the factors of 2040 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040.
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 2040 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2040 ÷ 2 = 1020
1020 ÷ 2 = 510
510 ÷ 2 = 255
255 ÷ 3 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 2040 are 2, 3, 5, and 17.
The prime factorization of 2040 is: 2³ × 3 × 5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2040 is divided by 2 to get 1020.
Step 2: Now divide 1020 by 2 to get 510.
Step 3: Then divide 510 by 2 to get 255.
Step 4: Divide 255 by 3 to get 85.
Step 5: Divide 85 by 5 to get 17. Here, 17 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 2040 is: 2³ × 3 × 5 × 17.
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 2040: (1, 2040), (2, 1020), (3, 680), (4, 510), (5, 408), (6, 340), (8, 255), (10, 204), (12, 170), (15, 136), (17, 120), (20, 102), (24, 85), (30, 68), (34, 60), and (40, 51).
Negative factor pairs of 2040: (-1, -2040), (-2, -1020), (-3, -680), (-4, -510), (-5, -408), (-6, -340), (-8, -255), (-10, -204), (-12, -170), (-15, -136), (-17, -120), (-20, -102), (-24, -85), (-30, -68), (-34, -60), and (-40, -51).
Common Mistakes and How to Avoid Them in Factors of 2040
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 2040, 1 and 2040 are also factors.
Factors of 2040 Examples
Problem 1
There are 12 teams and 2040 points. How will they distribute the points equally?
They will get 170 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
2040/12 = 170
Problem 2
A garden has an area of 2040 square meters, and its width is 60 meters. Find the length.
34 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
2040 = length × 60
To find the value of length, we need to shift 60 to the left side.
2040/60 = length
Length = 34.
Problem 3
There are 102 bags and 2040 candies. How many candies will be in each bag?
Each bag will have 20 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
2040/102 = 20
Problem 4
There are 85 students in a class, and they have 2040 assignments to complete. How many assignments does each student have?
Each student has 24 assignments.
Explanation
Dividing the assignments by the number of students, we will get the number of assignments per student.
2040/85 = 24
Problem 5
2040 books need to be arranged in 68 shelves. How many books will go on each shelf?
Each shelf will have 30 books.
Explanation
Divide total books by the number of shelves.
2040/68 = 30
FAQs on Factors of 2040
1.What are the factors of 2040?
2.Mention the prime factors of 2040.
3.Is 2040 a multiple of 8?
4.Mention the factor pairs of 2040.
5.What is the square of 2040?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2040?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2040 with numbers?
8.What role do numbers and Factors of 2040 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2040 skills?
Important Glossaries for Factors of 2040
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2040 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 17 are prime factors of 2040.
- 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 2040 include (1, 2040), (2, 1020), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 2040 is 2³ × 3 × 5 × 17.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number. For example, 3 × 680 = 2040.
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About BrightChamps in United Arab Emirates
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.
