122 LearnersLast updated on May 26th, 2025
Factors of 5000
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 5000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 5000?
The numbers that divide 5000 evenly are known as factors of 5000.
A factor of 5000 is a number that divides the number without a remainder.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, and 5000.
Negative factors of 5000: -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -625, -1000, -1250, -2500, and -5000.
Prime factors of 5000: 2 and 5.
Prime factorization of 5000: 23 × 54.
The sum of factors of 5000: 1 + 2 + 4 + 5 + 8 + 10 + 20 + 25 + 40 + 50 + 100 + 125 + 200 + 250 + 500 + 625 + 1000 + 1250 + 2500 + 5000 = 12431
How to Find Factors of 5000?
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 5000. Identifying the numbers which are multiplied to get the number 5000 is the multiplication method.
Step 1: Multiply 5000 by 1, 5000 × 1 = 5000.
Step 2: Check for other numbers that give 5000 after multiplying
2 × 2500 = 5000
4 × 1250 = 5000
5 × 1000 = 5000
8 × 625 = 5000
10 × 500 = 5000
20 × 250 = 5000
25 × 200 = 5000
40 × 125 = 5000
50 × 100 = 5000
Therefore, the positive factor pairs of 5000 are: (1, 5000), (2, 2500), (4, 1250), (5, 1000), (8, 625), (10, 500), (20, 250), (25, 200), (40, 125), (50, 100). 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 5000 by 1, 5000 ÷ 1 = 5000.
Step 2: Continue dividing 5000 by the numbers until the remainder becomes 0.
5000 ÷ 1 = 5000
5000 ÷ 2 = 2500
5000 ÷ 4 = 1250
5000 ÷ 5 = 1000
5000 ÷ 8 = 625
5000 ÷ 10 = 500
Therefore, the factors of 5000 are: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000.
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 5000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 5000 are 2 and 5.
The prime factorization of 5000 is: 23 × 54.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 5000 is divided by 2 to get 2500.
Step 2: Now divide 2500 by 2 to get 1250.
Step 3: Then divide 1250 by 2 to get 625.
Step 4: Divide 625 by 5 to get 125.
Step 5: Divide 125 by 5 to get 25.
Step 6: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 5000 is: 23 × 54.
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 5000: (1, 5000), (2, 2500), (4, 1250), (5, 1000), (8, 625), (10, 500), (20, 250), (25, 200), (40, 125), (50, 100).
Negative factor pairs of 5000: (-1, -5000), (-2, -2500), (-4, -1250), (-5, -1000), (-8, -625), (-10, -500), (-20, -250), (-25, -200), (-40, -125), (-50, -100).
Common Mistakes and How to Avoid Them in Factors of 5000
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 5000, 1 and 5000 are also factors.
Mistake 2
Missing Negative Factors
We tend to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 5000 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 5000/1.5 = 3333.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not only just primes. For example, thinking all the factors of 5000 are prime numbers.
For example, 2 and 5 are the prime factors of 5000, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing wrong factors.
For example, not breaking 5000 as 23 × 54 and missing all the key factors.
Factors of 5000 Examples
Problem 1
There are 10 boxes and 5000 marbles. How will they distribute it equally?
They will get 500 marbles each.
Explanation
To distribute the marbles equally, we need to divide the total marbles by the number of boxes.
5000/10 = 500
Problem 2
A warehouse is rectangular, the length of the warehouse is 50 meters, and the total area is 5000 square meters. Find the width?
100 meters.
Explanation
To find the width of the warehouse, we use the formula, Area = length × width
5000 = 50 × width
To find the value of width, we need to divide 5000 by 50.
5000/50 = width
Width = 100.
Problem 3
There are 20 crates and 5000 apples. How many apples will be in each crate?
Each crate will have 250 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
5000/20 = 250
Problem 4
In a conference, there are 5000 participants, and 25 groups. How many participants are there in each group?
There are 200 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
5000/25 = 200
Problem 5
5000 bricks need to be arranged in 50 stacks. How many bricks will go in each stack?
Each of the stacks has 100 bricks.
Explanation
Divide total bricks by stacks.
5000/50 = 100
FAQs on Factors of 5000
1.What are the factors of 5000?
2.Mention the prime factors of 5000.
3.Is 5000 a multiple of 4?
4.Mention the factor pairs of 5000?
5.What is the square of 5000?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 5000?
7.What are some fun ways kids in United Kingdom can practice Factors of 5000 with numbers?
8.What role do numbers and Factors of 5000 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 5000 skills?
Important Glossaries for Factors of 5000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, and 5000.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 5000.
- 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 5000 are (1, 5000), (2, 2500), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 5000 is 23 × 54.
- Multiple: A number that can be divided by another number without a remainder. For example, 5000 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
: She loves to read number jokes and games.
