118 LearnersLast updated on May 26th, 2025
Factors of 4800
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 4800, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4800?
The numbers that divide 4800 evenly are known as factors of 4800.
A factor of 4800 is a number that divides the number without remainder.
The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, and 4800.
Negative factors of 4800: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -96, -100, -120, -150, -160, -200, -240, -300, -320, -400, -480, -600, -800, -960, -1200, -1600, -2400, and -4800.
Prime factors of 4800: 2, 3, and 5. Prime factorization of 4800: 26 × 3 × 52.
The sum of factors of 4800: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 150 + 160 + 200 + 240 + 300 + 320 + 400 + 480 + 600 + 800 + 960 + 1200 + 1600 + 2400 + 4800 = 18759
How to Find Factors of 4800?
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 4800. Identifying the numbers that are multiplied to get the number 4800 is the multiplication method.
Step 1: Multiply 4800 by 1, 4800 × 1 = 4800.
Step 2: Check for other numbers that give 4800 after multiplying
2 × 2400 = 4800
3 × 1600 = 4800
4 × 1200 = 4800
5 × 960 = 4800
6 × 800 = 4800
8 × 600 = 4800
10 × 480 = 4800
12 × 400 = 4800
15 × 320 = 4800
16 × 300 = 4800
20 × 240 = 4800
24 × 200 = 4800
25 × 192 = 4800
30 × 160 = 4800
40 × 120 = 4800
48 × 100 = 4800
50 × 96 = 4800
60 × 80 = 4800
Therefore, the positive factor pairs of 4800 are: (1, 4800), (2, 2400), (3, 1600), (4, 1200), (5, 960), (6, 800), (8, 600), (10, 480), (12, 400), (15, 320), (16, 300), (20, 240), (24, 200), (25, 192), (30, 160), (40, 120), (48, 100), (50, 96), and (60, 80).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 the simple division method
Step 1: Divide 4800 by 1, 4800 ÷ 1 = 4800.
Step 2: Continue dividing 4800 by the numbers until the remainder becomes 0.
4800 ÷ 1 = 4800
4800 ÷ 2 = 2400
4800 ÷ 3 = 1600
4800 ÷ 4 = 1200
4800 ÷ 5 = 960
4800 ÷ 6 = 800
4800 ÷ 8 = 600
4800 ÷ 10 = 480
4800 ÷ 12 = 400
4800 ÷ 15 = 320
4800 ÷ 16 = 300
4800 ÷ 20 = 240
4800 ÷ 24 = 200
4800 ÷ 25 = 192
4800 ÷ 30 = 160
4800 ÷ 40 = 120
4800 ÷ 48 = 100
4800 ÷ 50 = 96
4800 ÷ 60 = 80
Therefore, the factors of 4800 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, and 4800.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 4800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4800 ÷ 2 = 2400
2400 ÷ 2 = 1200
1200 ÷ 2 = 600
600 ÷ 2 = 300
300 ÷ 2 = 150
150 ÷ 2 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 4800 are 2, 3, and 5.
The prime factorization of 4800 is: 26 × 3 × 52.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4800 is divided by 2 to get 2400.
Step 2: Now divide 2400 by 2 to get 1200.
Step 3: Then divide 1200 by 2 to get 600.
Step 4: Divide 600 by 2 to get 300.
Step 5: Divide 300 by 2 to get 150.
Step 6: Divide 150 by 2 to get 75.
Step 7: Divide 75 by 3 to get 25.
Step 8: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4800 is: 26 × 3 × 52.
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 4800: (1, 4800), (2, 2400), (3, 1600), (4, 1200), (5, 960), (6, 800), (8, 600), (10, 480), (12, 400), (15, 320), (16, 300), (20, 240), (24, 200), (25, 192), (30, 160), (40, 120), (48, 100), (50, 96), and (60, 80).
Negative factor pairs of 4800: (-1, -4800), (-2, -2400), (-3, -1600), (-4, -1200), (-5, -960), (-6, -800), (-8, -600), (-10, -480), (-12, -400), (-15, -320), (-16, -300), (-20, -240), (-24, -200), (-25, -192), (-30, -160), (-40, -120), (-48, -100), (-50, -96), and (-60, -80).
Common Mistakes and How to Avoid Them in Factors of 4800
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 4800, 1 and 4800 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 4800 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor is incorrect because 4800/1.5 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 4800 are prime numbers.
For example, 2, 3, and 5 are the prime factors of 4800, but it has other factors like 4, 10, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 4800 as 26 × 3 × 52 and missing all the key factors.
Factors of 4800 Examples
Problem 1
A company needs to allocate 4800 units of resources across 12 departments equally. How many units will each department receive?
Each department will receive 400 units.
Explanation
To divide the resources equally, we need to divide the total units by the number of departments.
4800/12 = 400
Problem 2
A rectangular garden has a length of 60 meters and a total area of 4800 square meters. Find the width.
80 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
4800 = 60 × width
To find the value of width, we need to shift 60 to the left side.
4800/60 = width
Width = 80.
Problem 3
A baker has 4800 cookies and needs to pack them into boxes of 80. How many boxes will be used?
60 boxes will be used.
Explanation
To find the number of boxes, divide the total cookies by the number of cookies per box.
4800/80 = 60
Problem 4
A school wants to distribute 4800 pencils equally among 48 classes. How many pencils will each class get?
Each class will get 100 pencils.
Explanation
Dividing the pencils by the total classes, we will get the number of pencils in each class.
4800/48 = 100
Problem 5
A library has 4800 books to arrange on 24 shelves. How many books will go on each shelf?
Each shelf will have 200 books.
Explanation
Divide total books by shelves.
4800/24 = 200
FAQs on Factors of 4800
1.What are the factors of 4800?
2.Mention the prime factors of 4800.
3.Is 4800 a multiple of 4?
4.Mention the factor pairs of 4800?
5.What is the square of 4800?
6.How can children in India use numbers in everyday life to understand Factors of 4800?
7.What are some fun ways kids in India can practice Factors of 4800 with numbers?
8.What role do numbers and Factors of 4800 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4800 skills?
Important Glossaries for Factors of 4800
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4800 are 1, 2, 3, 4, 5, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 4800.
- 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 4800 are (1, 4800), (2, 2400), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 4800 is 26 × 3 × 52.
- Multiples: A multiple of a number is the product of that number and an integer. For example, 4800 is a multiple of 4.
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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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