100 LearnersLast updated on May 26th, 2025
Factors of 2002
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 2002, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2002?
The numbers that divide 2002 evenly are known as factors of 2002.
A factor of 2002 is a number that divides the number without remainder.
The factors of 2002 are 1, 2, 7, 11, 14, 22, 77, 143, 286, 1001, and 2002.
Negative factors of 2002: -1, -2, -7, -11, -14, -22, -77, -143, -286, -1001, and -2002.
Prime factors of 2002: 2, 7, and 11.
Prime factorization of 2002: 2 × 7 × 11 × 13.
The sum of factors of 2002: 1 + 2 + 7 + 11 + 14 + 22 + 77 + 143 + 286 + 1001 + 2002 = 3566
How to Find Factors of 2002?
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 2002. Identifying the numbers which are multiplied to get the number 2002 is the multiplication method.
Step 1: Multiply 2002 by 1, 2002 × 1 = 2002.
Step 2: Check for other numbers that give 2002 after multiplying
2 × 1001 = 2002
7 × 286 = 2002
11 × 182 = 2002
14 × 143 = 2002
22 × 91 = 2002
26 × 77 = 2002
Therefore, the positive factor pairs of 2002 are: (1, 2002), (2, 1001), (7, 286), (11, 182), (14, 143), (22, 91), and (26, 77).
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 the simple division method
Step 1: Divide 2002 by 1, 2002 ÷ 1 = 2002.
Step 2: Continue dividing 2002 by the numbers until the remainder becomes 0.
2002 ÷ 1 = 2002
2002 ÷ 2 = 1001
2002 ÷ 7 = 286
2002 ÷ 11 = 182
2002 ÷ 14 = 143
2002 ÷ 22 = 91
2002 ÷ 26 = 77
Therefore, the factors of 2002 are: 1, 2, 7, 11, 14, 22, 26, 77, 143, 182, 286, 1001, and 2002.
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 2002 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2002 ÷ 2 = 1001
1001 ÷ 7 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 2002 are 2, 7, 11, and 13.
The prime factorization of 2002 is: 2 × 7 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2002 is divided by 2 to get 1001.
Step 2: Now divide 1001 by 7 to get 143.
Step 3: Then divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2002 is: 2 × 7 × 11 × 13.
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 2002: (1, 2002), (2, 1001), (7, 286), (11, 182), (14, 143), (22, 91), and (26, 77).
Negative factor pairs of 2002: (-1, -2002), (-2, -1001), (-7, -286), (-11, -182), (-14, -143), (-22, -91), and (-26, -77).
Common Mistakes and How to Avoid Them in Factors of 2002
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 2002, 1 and 2002 are also factors.
Factors of 2002 Examples
Problem 1
A concert has 2002 seats and needs to be arranged into 11 equal rows. How many seats will be in each row?
There will be 182 seats in each row.
Explanation
To divide the seats equally, we need to divide the total seats by the number of rows.
2002/11 = 182
Problem 2
A garden is rectangular, the length of the garden is 13 meters and the total area is 2002 square meters. Find the width.
154 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2002 = 13 × width
To find the value of width, we need to shift 13 to the left side.
2002/13 = width
Width = 154.
Problem 3
A company is giving 2002 promotional items to 143 stores. How many items will each store receive?
Each store will receive 14 items.
Explanation
To find the number of items each store receives, divide the total items by the number of stores.
2002/143 = 14
Problem 4
There are 286 packages and 7 trucks. How many packages will each truck carry?
Each truck will carry 41 packages.
Explanation
Dividing the packages by the total trucks, we will get the number of packages on each truck.
286/7 = 41
Problem 5
A sports event has 1001 participants, and they need to be grouped into 14 teams. How many participants will be in each team?
Each team will have 71 participants.
Explanation
Divide total participants by the number of teams.
1001/14 = 71
FAQs on Factors of 2002
1.What are the factors of 2002?
2.Mention the prime factors of 2002.
3.Is 2002 a multiple of 11?
4.Mention the factor pairs of 2002?
5.What is the square of 2002?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2002?
7.What are some fun ways kids in Indonesia can practice Factors of 2002 with numbers?
8.What role do numbers and Factors of 2002 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2002 skills?
Important Glossaries for Factor of 2002
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2002 are 1, 2, 7, 11, 14, 22, 26, 77, 143, 182, 286, 1001, and 2002.
- Prime factors: The factors which are prime numbers. For example, 2, 7, 11, and 13 are prime factors of 2002.
- 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 2002 are (1, 2002), (2, 1001), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 2002 is 2 × 7 × 11 × 13.
- Multiple: A number that can be divided by another number without a remainder is called a multiple. For example, 2002 is a multiple of 11.
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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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