101 LearnersLast updated on May 26th, 2025
Factors of 2001
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 2001, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2001?
The numbers that divide 2001 evenly are known as factors of 2001.
A factor of 2001 is a number that divides the number without remainder.
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, and 2001.
Negative factors of 2001: -1, -3, -23, -29, -69, -87, -667, and -2001.
Prime factors of 2001: 3, 23, and 29.
Prime factorization of 2001: 3 × 23 × 29.
The sum of factors of 2001: 1 + 3 + 23 + 29 + 69 + 87 + 667 + 2001 = 2880
How to Find Factors of 2001?
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 2001. Identifying the numbers which are multiplied to get the number 2001 is the multiplication method.
Step 1: Multiply 2001 by 1, 2001 × 1 = 2001.
Step 2: Check for other numbers that give 2001 after multiplying
3 × 667 = 2001
23 × 87 = 2001
29 × 69 = 2001
Therefore, the positive factor pairs of 2001 are: (1, 2001), (3, 667), (23, 87), (29, 69).
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 2001 by 1, 2001 ÷ 1 = 2001.
Step 2: Continue dividing 2001 by the numbers until the remainder becomes 0.
2001 ÷ 1 = 2001
2001 ÷ 3 = 667
2001 ÷ 23 = 87
2001 ÷ 29 = 69
Therefore, the factors of 2001 are: 1, 3, 23, 29, 69, 87, 667, 2001.
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 2001 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2001 ÷ 3 = 667
667 ÷ 23 = 29
29 ÷ 29 = 1
The prime factors of 2001 are 3, 23, and 29.
The prime factorization of 2001 is: 3 × 23 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2001 is divided by 3 to get 667.
Step 2: Now divide 667 by 23 to get 29.
Step 3: Divide 29 by 29 to get 1.
So, the prime factorization of 2001 is: 3 × 23 × 29.
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 2001: (1, 2001), (3, 667), (23, 87), (29, 69).
Negative factor pairs of 2001: (-1, -2001), (-3, -667), (-23, -87), (-29, -69).
Common Mistakes and How to Avoid Them in Factors of 2001
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 2001, 1 and 2001 are also factors.
Factors of 2001 Examples
Problem 1
There are 3 teams and 2001 marbles. How will they divide it equally?
They will get 667 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of teams.
2001/3 = 667
Problem 2
A plot is rectangular, the width of the plot is 29 meters and the total area is 2001 square meters. Find the length?
69 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
2001 = 29 × length
To find the value of length, we need to shift 29 to the left side.
2001/29 = length
Length = 69.
Problem 3
There are 87 bags and 2001 candies. How many candies will be in each bag?
Each bag will have 23 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
2001/87 = 23
Problem 4
In a seminar, there are 2001 participants, and 23 groups. How many participants are there in each group?
There are 87 participants in each group.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
2001/23 = 87
Problem 5
2001 books need to be arranged in 29 shelves. How many books will go on each shelf?
Each of the shelves has 69 books.
Explanation
Divide total books with shelves.
2001/29 = 69
FAQs on Factors of 2001
1.What are the factors of 2001?
2.Mention the prime factors of 2001.
3.Is 2001 a multiple of 3?
4.Mention the factor pairs of 2001?
5.What is the square of 2001?
6.How can children in Australia use numbers in everyday life to understand Factors of 2001?
7.What are some fun ways kids in Australia can practice Factors of 2001 with numbers?
8.What role do numbers and Factors of 2001 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2001 skills?
Important Glossaries for Factors of 2001
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2001 are 1, 3, 23, 29, 69, 87, 667, and 2001.
- Prime factors: The factors which are prime numbers. For example, 3, 23, and 29 are prime factors of 2001.
- 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 2001 are (1, 2001), (3, 667), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2001 is 3 × 23 × 29.
- Multiple: A number that can be divided by another number without a remainder. For example, 2001 is a multiple of 3.
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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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