117 LearnersLast updated on May 26th, 2025
Factors of 24000
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 24000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 24000?
The numbers that divide 24000 evenly are known as factors of 24000.
A factor of 24000 is a number that divides the number without remainder.
The factors of 24000 include a variety of numbers such as 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, 400, 480, 600, 750, 800, 1200, 1500, 1600, 2400, 3000, 4000, 4800, 6000, 8000, 12000, and 24000.
Negative factors of 24000: -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, -400, -480, -600, -750, -800, -1200, -1500, -1600, -2400, -3000, -4000, -4800, -6000, -8000, -12000, and -24000.
Prime factors of 24000: 2, 3, and 5.
Prime factorization of 24000: (26 times 3 times 53).
The sum of factors of 24000 is a large number calculated from adding all these factors.
How to Find Factors of 24000?
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 pairs of numbers that are multiplied to give 24000. Identifying the numbers that are multiplied to get 24000 is the multiplication method.
Step 1: Multiply 24000 by 1, 24000 × 1 = 24000.
Step 2: Check for other numbers that give 24000 after multiplying:
(2 times 12000 = 24000)
(3 times 8000 = 24000)
(4 times 6000 = 24000)
(5 times 4800 = 24000) and so on.
Therefore, the positive factor pairs of 24000 are numerous, including (1, 24000), (2, 12000), (3, 8000), (4, 6000), (5, 4800), etc. 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 the simple division method -
Step 1: Divide 24000 by 1, 24000 ÷ 1 = 24000.
Step 2: Continue dividing 24000 by numbers until the remainder becomes 0.
24000 ÷ 1 = 24000
24000 ÷ 2 = 12000
24000 ÷ 3 = 8000
24000 ÷ 4 = 6000
24000 ÷ 5 = 4800 and so on.
Therefore, the factors of 24000 include 1, 2, 3, 4, 5, and many more.
Prime Factors and Prime Factorization
The factors can be found by dividing it by 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 24000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
24000 ÷ 2 = 12000
12000 ÷ 2 = 6000
6000 ÷ 2 = 3000
3000 ÷ 2 = 1500
1500 ÷ 2 = 750
750 ÷ 3 = 250
250 ÷ 5 = 50
50 ÷ 5 = 10
10 ÷ 5 = 2
The prime factors of 24000 are 2, 3, and 5.
The prime factorization of 24000 is: (26 times 3 times 53).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 24000 is divided by 2 to get 12000.
Step 2: Now divide 12000 by 2 to get 6000.
Step 3: Then divide 6000 by 2 to get 3000.
Step 4: Continue this process until reaching a prime number. Here, 2, 3, and 5 are the smallest prime numbers that cannot be divided further. So, the prime factorization of 24000 is: (26 times 3 times 53).
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 24000 include: (1, 24000), (2, 12000), (3, 8000), (4, 6000), (5, 4800), etc.
Negative factor pairs of 24000: (-1, -24000), (-2, -12000), (-3, -8000), (-4, -6000), (-5, -4800), etc.
Common Mistakes and How to Avoid Them in Factors of 24000
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 word. Always remember to include 1 and the number itself.
For example, in factors of 24000, 1 and 24000 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 24000 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 24000/1.5 = 16000, 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 24000 are prime numbers. For instance, 2, 3, and 5 are the prime factors of 24000, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 24000 as \(2^6 \times 3 \times 5^3\) and missing all the key factors.
Factors of 24000 Examples
Problem 1
There are 6 workers and 24000 bricks. How will they divide it equally?
They will get 4000 bricks each.
Explanation
To divide the bricks equally, we need to divide the total number of bricks by the number of workers.
24000/6 = 4000
Problem 2
A swimming pool is rectangular, the length of the pool is 50 meters and the total area is 24000 square meters. Find the width?
480 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
24000 = 50 × width
To find the value of width, we need to shift 50 to the left side.
24000/50 = width
Width = 480.
Problem 3
There are 300 trays and 24000 cupcakes. How many cupcakes will be in each tray?
Each tray will have 80 cupcakes.
Explanation
To find the cupcakes in each tray, divide the total cupcakes by the trays.
24000/300 = 80
Problem 4
In a company, there are 24000 employees and 120 departments. How many employees are there in each department?
There are 200 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
24000/120 = 200
Problem 5
24000 pages need to be printed and there are 100 printers. How many pages will each printer print?
Each printer will print 240 pages.
Explanation
Divide total pages by printers.
24000/100 = 240
FAQs on Factors of 24000
1.What are the factors of 24000?
2.Mention the prime factors of 24000.
3.Is 24000 a multiple of 8?
4.Mention the factor pairs of 24000?
5.What is the cube of 24000?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 24000?
7.What are some fun ways kids in Vietnam can practice Factors of 24000 with numbers?
8.What role do numbers and Factors of 24000 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 24000 skills?
Important Glossaries for Factor of 24000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 24000 include 1, 2, 3, 4, 5, and many more.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 24000.
- 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 24000 include (1, 24000), (2, 12000), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 24000
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to the given number. For example, identifying pairs like (3, 8000) for 24000.
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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.
