101 LearnersLast updated on May 26th, 2025
Factors of 2008
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 2008, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2008?
The numbers that divide 2008 evenly are known as factors of 2008.
A factor of 2008 is a number that divides the number without remainder.
The factors of 2008 are 1, 2, 4, 502, 1004, and 2008.
Negative factors of 2008: -1, -2, -4, -502, -1004, and -2008.
Prime factors of 2008: 2 and 502.
Prime factorization of 2008: 22 × 502.
The sum of factors of 2008: 1 + 2 + 4 + 502 + 1004 + 2008 = 3521
How to Find Factors of 2008?
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 2008. Identifying the numbers which are multiplied to get the number 2008 is the multiplication method.
Step 1: Multiply 2008 by 1, 2008 × 1 = 2008.
Step 2: Check for other numbers that give 2008 after multiplying
2 × 1004 = 2008
4 × 502 = 2008
Therefore, the positive factor pairs of 2008 are: (1, 2008), (2, 1004), (4, 502).
All these factor pairs result in 2008.
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 2008 by 1, 2008 ÷ 1 = 2008.
Step 2: Continue dividing 2008 by the numbers until the remainder becomes 0.
2008 ÷ 1 = 2008
2008 ÷ 2 = 1004
2008 ÷ 4 = 502
Therefore, the factors of 2008 are: 1, 2, 4, 502, 1004, 2008.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 2008 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2008 ÷ 2 = 1004
1004 ÷ 2 = 502
502 ÷ 502 = 1
The prime factors of 2008 are 2 and 502.
The prime factorization of 2008 is: 22 × 502.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2008 is divided by 2 to get 1004.
Step 2: Now divide 1004 by 2 to get 502.
Step 3: Finally, 502 is a prime number.
So, the prime factorization of 2008 is: 22 × 502.
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 2008: (1, 2008), (2, 1004), (4, 502).
Negative factor pairs of 2008: (-1, -2008), (-2, -1004), (-4, -502).
Common Mistakes and How to Avoid Them in Factors of 2008
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 2008, 1 and 2008 are also factors.
Factors of 2008 Examples
Problem 1
There are 10 teams in a tournament and 2008 participants. How will they be divided equally?
Each team will have 200 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
2008/10 = 200
Problem 2
A rectangular garden has a length of 2 meters and a total area of 2008 square meters. Find the width.
The width is 1004 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2008 = 2 × width
To find the value of width, we need to shift 2 to the left side.
2008/2 = width
Width = 1004.
Problem 3
There are 4 trucks and 2008 packages. How many packages will be in each truck?
Each truck will have 502 packages.
Explanation
To find the packages in each truck, divide the total packages by the trucks.
2008/4 = 502
Problem 4
A school has 2008 students and 4 houses. How many students are there in each house?
There are 502 students in each house.
Explanation
Dividing the students by the total houses, we will get the number of students in each house.
2008/4 = 502
Problem 5
2008 books need to be arranged on 2 shelves. How many books will go on each shelf?
Each shelf will have 1004 books.
Explanation
Divide total books by shelves.
2008/2 = 1004
FAQs on Factors of 2008
1.What are the factors of 2008?
2.Mention the prime factors of 2008.
3.Is 2008 a multiple of 4?
4.Mention the factor pairs of 2008?
5.What is the square of 2008?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2008?
7.What are some fun ways kids in Indonesia can practice Factors of 2008 with numbers?
8.What role do numbers and Factors of 2008 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2008 skills?
Important Glossaries for Factors of 2008
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2008 are 1, 2, 4, 502, 1004, and 2008.
- Prime factors: The factors which are prime numbers. For example, 2 and 502 are prime factors of 2008.
- 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 2008 are (1, 2008), (2, 1004), etc.
- Prime factorization: The process of expressing a number as the product of prime numbers. For example, the prime factorization of 2008 is 22 × 502.
- Division method: A method to find factors by dividing the number by integers until the quotient is an integer without a remainder.
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About BrightChamps in Indonesia
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.
