101 LearnersLast updated on May 26th, 2025
Factors of 48000
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 48000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 48000?
The numbers that divide 48000 evenly are known as factors of 48000.
A factor of 48000 is a number that divides the number without remainder.
The factors of 48000 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 192, 240, 320, 480, 600, 960, 1200, 1600, 2400, 3200, 4800, 9600, 16000, 24000, and 48000.
Negative factors of 48000: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -80, -96, -120, -160, -192, -240, -320, -480, -600, -960, -1200, -1600, -2400, -3200, -4800, -9600, -16000, -24000, and -48000.
Prime factors of 48000: 2, 3, and 5.
Prime factorization of 48000: (27 times 3 times 53).
The sum of factors of 48000: Calculating the sum of all factors can be done, but it is a lengthy process.
How to Find Factors of 48000?
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 48000. Identifying the numbers which are multiplied to get the number 48000 is the multiplication method.
Step 1: Multiply 48000 by 1, 48000 × 1 = 48000.
Step 2: Check for other numbers that give 48000 after multiplying
2 × 24000 = 48000
3 × 16000 = 48000
4 × 12000 = 48000
5 × 9600 = 48000 ...and so on.
Therefore, the positive factor pairs of 48000 are numerous, including: (1, 48000), (2, 24000), (3, 16000), (4, 12000), (5, 9600), etc. 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 48000 by 1, 48000 ÷ 1 = 48000.
Step 2: Continue dividing 48000 by the numbers until the remainder becomes 0.
48000 ÷ 1 = 48000
48000 ÷ 2 = 24000
48000 ÷ 3 = 16000
48000 ÷ 4 = 12000
48000 ÷ 5 = 9600 ...and so on.
Therefore, the factors of 48000 include many numbers, such as 1, 2, 3, 4, 5, 6, 8, 10, etc.
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 48000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
48000 ÷ 2 = 24000
24000 ÷ 2 = 12000
12000 ÷ 2 = 6000
6000 ÷ 2 = 3000
3000 ÷ 2 = 1500
1500 ÷ 2 = 750
750 ÷ 2 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 48000 are 2, 3, and 5.
The prime factorization of 48000
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 48000 is divided by 2 to get 24000.
Step 2: Now divide 24000 by 2 to get 12000.
Step 3: Then divide 12000 by 2 to get 6000.
Step 4: Continue dividing by 2 until you reach 375, then divide by 3 to get 125. Step 5: Divide 125 by 5 until you reach 1. So, the prime factorization of 48000 is: (27 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 48000: (1, 48000), (2, 24000), (3, 16000), (4, 12000), (5, 9600), etc.
Negative factor pairs of 48000: (-1, -48000), (-2, -24000), (-3, -16000), (-4, -12000), (-5, -9600), etc.
Common Mistakes and How to Avoid Them in Factors of 48000
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 48000, 1 and 48000 are also factors.
Factors of 48000 Examples
Problem 1
There are 240 people and 48000 chocolates. How will they divide it equally?
They will get 200 chocolates each.
Explanation
To divide the chocolates equally, we need to divide the total chocolates by the number of people.
48000/240 = 200
Problem 2
A rectangular plot has a length of 200 meters and the total area is 48000 square meters. Find the width?
240 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
48000 = 200 × width
To find the value of width, we need to shift 200 to the left side.
48000/200 = width
Width = 240.
Problem 3
There are 960 boxes and 48000 items. How many items will be in each box?
Each box will have 50 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
48000/960 = 50
Problem 4
In a company, there are 48000 products and 300 groups. How many products are there in each group?
There are 160 products in each group.
Explanation
Dividing the products by the total groups, we will get the number of products in each group.
48000/300 = 160
Problem 5
48000 widgets need to be packed in 400 boxes. How many widgets will go in each box?
Each box will contain 120 widgets.
Explanation
Divide total widgets by boxes.
48000/400 = 120
FAQs on Factors of 48000
1.What are the factors of 48000?
2.Mention the prime factors of 48000.
3.Is 48000 a multiple of 5?
4.Mention the factor pairs of 48000?
5.What is the square of 48000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 48000?
7.What are some fun ways kids in Singapore can practice Factors of 48000 with numbers?
8.What role do numbers and Factors of 48000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 48000 skills?
Important Glossaries for Factors of 48000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 48000 include 1, 2, 3, 4, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 48000.
- 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 48000 include (1, 48000), (2, 24000), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For instance, the prime factorization of 48000 is (27 times 3 times 53).
- Multiples: A multiple is the product of a number and an integer. For instance, 48000 is a multiple of 5.
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About BrightChamps in Singapore
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.
