100 LearnersLast updated on May 26th, 2025
Factors of 2520
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 2520, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2520?
The numbers that divide 2520 evenly are known as factors of 2520.
A factor of 2520 is a number that divides the number without remainder.
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, and 2520.
Negative factors of 2520: -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -18, -20, -21, -24, -28, -30, -35, -36, -40, -42, -45, -56, -60, -63, -70, -72, -84, -90, -105, -120, -126, -140, -168, -180, -210, -252, -280, -315, -360, -420, -504, -630, -840, -1260, -2520.
Prime factors of 2520: 2, 3, 5, and 7.
Prime factorization of 2520: 2^3 × 3^2 × 5 × 7.
The sum of factors of 2520: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 + 2520 = 9360
How to Find Factors of 2520?
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 2520. Identifying the numbers which are multiplied to get the number 2520 is the multiplication method.
Step 1: Multiply 2520 by 1, 2520 × 1 = 2520.
Step 2: Check for other numbers that give 2520 after multiplying
2 × 1260 = 2520
3 × 840 = 2520
4 × 630 = 2520
5 × 504 = 2520
6 × 420 = 2520
7 × 360 = 2520
8 × 315 = 2520
9 × 280 = 2520
10 × 252 = 2520
12 × 210 = 2520
14 × 180 = 2520
15 × 168 = 2520
18 × 140 = 2520
20 × 126 = 2520
21 × 120 = 2520
24 × 105 = 2520
28 × 90 = 2520
30 × 84 = 2520
35 × 72 = 2520
36 × 70 = 2520
40 × 63 = 2520
42 × 60 = 2520
45 × 56 = 2520
Therefore, the positive factor pairs of 2520 are: (1, 2520), (2, 1260), (3, 840), (4, 630), (5, 504), (6, 420), (7, 360), (8, 315), (9, 280), (10, 252), (12, 210), (14, 180), (15, 168), (18, 140), (20, 126), (21, 120), (24, 105), (28, 90), (30, 84), (35, 72), (36, 70), (40, 63), and (42, 60).
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 2520 by 1, 2520 ÷ 1 = 2520.
Step 2: Continue dividing 2520 by the numbers until the remainder becomes 0.
2520 ÷ 1 = 2520
2520 ÷ 2 = 1260
2520 ÷ 3 = 840
2520 ÷ 4 = 630
2520 ÷ 5 = 504
2520 ÷ 6 = 420
2520 ÷ 7 = 360
2520 ÷ 8 = 315
2520 ÷ 9 = 280
2520 ÷ 10 = 252
2520 ÷ 12 = 210
2520 ÷ 14 = 180
2520 ÷ 15 = 168
2520 ÷ 18 = 140
2520 ÷ 20 = 126
2520 ÷ 21 = 120
2520 ÷ 24 = 105
2520 ÷ 28 = 90
2520 ÷ 30 = 84
2520 ÷ 35 = 72
2520 ÷ 36 = 70
2520 ÷ 40 = 63
2520 ÷ 42 = 60
Therefore, the factors of 2520 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, and 2520.
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 2520 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2520 ÷ 2 = 1260
1260 ÷ 2 = 630
630 ÷ 2 = 315
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 2520 are 2, 3, 5, and 7.
The prime factorization of 2520 is: 2^3 × 3^2 × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2520 is divided by 2 to get 1260.
Step 2: Now divide 1260 by 2 to get 630.
Step 3: Then divide 630 by 2 to get 315.
Step 4: Divide 315 by 3 to get 105.
Step 5: Divide 105 by 3 to get 35.
Step 6: Divide 35 by 5 to get 7.
Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2520 is: 2^3 × 3^2 × 5 × 7.
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 2520: (1, 2520), (2, 1260), (3, 840), (4, 630), (5, 504), (6, 420), (7, 360), (8, 315), (9, 280), (10, 252), (12, 210), (14, 180), (15, 168), (18, 140), (20, 126), (21, 120), (24, 105), (28, 90), (30, 84), (35, 72), (36, 70), (40, 63), and (42, 60).
Negative factor pairs of 2520: (-1, -2520), (-2, -1260), (-3, -840), (-4, -630), (-5, -504), (-6, -420), (-7, -360), (-8, -315), (-9, -280), (-10, -252), (-12, -210), (-14, -180), (-15, -168), (-18, -140), (-20, -126), (-21, -120), (-24, -105), (-28, -90), (-30, -84), (-35, -72), (-36, -70), (-40, -63), and (-42, -60).
Common Mistakes and How to Avoid Them in Factors of 2520
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 2520, 1 and 2520 are also factors.
Factors of 2520 Examples
Problem 1
There are 28 friends and 2520 candies. How will they divide it equally?
They will get 90 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
2520/28 = 90
Problem 2
A rectangular plot of land has a length of 35 meters and a total area of 2520 square meters. Find the width.
72 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
2520 = 35 × width
To find the value of width, we need to shift 35 to the left side.
2520/35 = width
Width = 72.
Problem 3
There are 42 baskets and 2520 apples. How many apples will be in each basket?
Each basket will have 60 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
2520/42 = 60
Problem 4
In a class, there are 2520 students, and 84 groups. How many students are there in each group?
There are 30 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
2520/84 = 30
Problem 5
2520 books need to be arranged in 56 shelves. How many books will go on each shelf?
Each of the shelves has 45 books.
Explanation
Divide total books with shelves.
2520/56 = 45
FAQs on Factors of 2520
1.What are the factors of 2520?
2.Mention the prime factors of 2520.
3.Is 2520 a multiple of 9?
4.Mention the factor pairs of 2520?
5.What is the square of 2520?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 2520?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 2520 with numbers?
8.What role do numbers and Factors of 2520 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 2520 skills?
Important Glossaries for Factors of 2520
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, and 2520.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 2520.
- 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 2520 are (1, 2520), (2, 1260), etc
. - Prime factorization: The expression of a number as the product of its prime factors. For instance, the prime factorization of 2520 is 2^3 × 3^2 × 5 × 7.
- Multiple: A number that can be divided by another number without a remainder. For example, 2520 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.
Fun Fact
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