122 LearnersLast updated on May 26th, 2025
Factors of 4320
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 4320, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4320?
The numbers that divide 4320 evenly are known as factors of 4320.
A factor of 4320 is a number that divides the number without remainder.
The factors of 4320 include numbers like 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 540, 720, 864, 1080, 1440, 2160, and 4320.
Negative factors of 4320 include: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -32, -36, -40, -45, -48, -54, -60, -72, -80, -90, -108, -120, -135, -144, -160, -180, -216, -240, -270, -288, -360, -432, -540, -720, -864, -1080, -1440, -2160, and -4320.
Prime factors of 4320: 2, 3, and 5.
Prime factorization of 4320: 25 × 33 × 5.
The sum of factors of 4320 can be calculated by adding all the positive factors.
How to Find Factors of 4320?
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 4320. Identifying the numbers which are multiplied to get the number 4320 is the multiplication method.
Step 1: Multiply 4320 by 1, 4320 × 1 = 4320.
Step 2: Check for other numbers that give 4320 after multiplying
2 × 2160 = 4320
3 × 1440 = 4320
4 × 1080 = 4320
5 × 864 = 4320
6 × 720 = 4320 ...
Therefore, the positive factor pairs of 4320 include pairs like (1, 4320), (2, 2160), (3, 1440), and so on.
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 4320 by 1, 4320 ÷ 1 = 4320.
Step 2: Continue dividing 4320 by the numbers until the remainder becomes 0.
4320 ÷ 1 = 4320
4320 ÷ 2 = 2160
4320 ÷ 3 = 1440
4320 ÷ 4 = 1080
4320 ÷ 5 = 864 ...
Therefore, the factors of 4320 include: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 540, 720, 864, 1080, 1440, 2160, 4320.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 4320 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4320 ÷ 2 = 2160
2160 ÷ 2 = 1080
1080 ÷ 2 = 540
540 ÷ 2 = 270
270 ÷ 2 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 4320 are 2, 3, and 5.
The prime factorization of 4320 is: 25 × 33 × 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4320 is divided by 2 to get 2160.
Step 2: Now divide 2160 by 2 to get 1080.
Step 3: Then divide 1080 by 2 to get 540.
Step 4: Divide 540 by 2 to get 270.
Step 5: Divide 270 by 2 to get 135.
Step 6: Divide 135 by 3 to get 45.
Step 7: Divide 45 by 3 to get 15.
Step 8: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4320 is: 25 × 33 × 5.
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 4320: (1, 4320), (2, 2160), (3, 1440), (4, 1080), (5, 864), and so on.
Negative factor pairs of 4320: (-1, -4320), (-2, -2160), (-3, -1440), (-4, -1080), (-5, -864), and so on.
Common Mistakes and How to Avoid Them in Factors of 4320
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 word. Always remember to include 1 and the number itself.
For example, in factors of 4320, 1 and 4320 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 4320 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 4320/1.5 = 2880, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 4320 are prime numbers. For example, 2, 3, and 5 are the prime factors of 4320, but it has other factors like 10, 54.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 4320 as 25 × 33 × 5 and missing all the key factors.
Factors of 4320 Examples
Problem 1
There are 12 teams and 4320 points. How will they distribute the points equally?
Each team will receive 360 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
4320/12 = 360
Problem 2
A large hall is rectangular, the length of the hall is 40 meters, and the total area is 4320 square meters. Find the width.
108 meters.
Explanation
To find the width of the hall, we use the formula, Area = length × width
4320 = 40 × width
To find the width, we need to shift 40 to the left side.
4320/40 = width
Width = 108.
Problem 3
There are 54 containers and 4320 liters of water. How many liters will be in each container?
Each container will have 80 liters.
Explanation
To find the liters in each container, divide the total liters by the containers.
4320/54 = 80
Problem 4
In a conference, there are 4320 participants, and 360 groups. How many participants are there in each group?
There are 12 participants in each group.
Explanation
Dividing the participants by the total groups will give the number of participants in each group.
4320/360 = 12
Problem 5
4320 documents need to be arranged in 180 folders. How many documents will go in each folder?
Each folder will have 24 documents.
Explanation
Divide total documents by folders. 4320/180 = 24
FAQs on Factors of 4320
1.What are the factors of 4320?
2.Mention the prime factors of 4320.
3.Is 4320 a multiple of 9?
4.Mention the factor pairs of 4320?
5.What is the square of 4320?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 4320?
7.What are some fun ways kids in Vietnam can practice Factors of 4320 with numbers?
8.What role do numbers and Factors of 4320 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 4320 skills?
Important Glossaries for Factors of 4320
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4320 include 1, 2, 3, and so on.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 4320.
- 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 4320 are (1, 4320), (2, 2160), etc.
- Prime factorization: The breakdown of a number into its prime factors. For example, the prime factorization of 4320 is 25 × 33 × 5.
- Multiplication method: A method for finding factors by identifying pairs of numbers that multiply to the given number.
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About BrightChamps in Vietnam
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.
