100 LearnersLast updated on May 26th, 2025
Factors of 2020
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 2020, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2020?
The numbers that divide 2020 evenly are known as factors of 2020.
A factor of 2020 is a number that divides the number without remainder.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, and 2020.
Negative factors of 2020: -1, -2, -4, -5, -10, -20, -101, -202, -404, -505, -1010, and -2020.
Prime factors of 2020: 2, 5, and 101.
Prime factorization of 2020: 22 × 5 × 101.
The sum of factors of 2020: 1 + 2 + 4 + 5 + 10 + 20 + 101 + 202 + 404 + 505 + 1010 + 2020 = 4284
How to Find Factors of 2020?
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 2020. Identifying the numbers which are multiplied to get the number 2020 is the multiplication method.
Step 1: Multiply 2020 by 1, 2020 × 1 = 2020.
Step 2: Check for other numbers that give 2020 after multiplying
2 × 1010 = 2020
4 × 505 = 2020
5 × 404 = 2020
10 × 202 = 2020
20 × 101 = 2020
Therefore, the positive factor pairs of 2020 are: (1, 2020), (2, 1010), (4, 505), (5, 404), (10, 202), (20, 101).
All these factor pairs result in 2020.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2020 by 1, 2020 ÷ 1 = 2020.
Step 2: Continue dividing 2020 by the numbers until the remainder becomes 0.
2020 ÷ 1 = 2020
2020 ÷ 2 = 1010
2020 ÷ 4 = 505
2020 ÷ 5 = 404
2020 ÷ 10 = 202
2020 ÷ 20 = 101
Therefore, the factors of 2020 are: 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 2020 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2020 ÷ 2 = 1010
1010 ÷ 2 = 505
505 ÷ 5 = 101
101 ÷ 101 = 1
The prime factors of 2020 are 2, 5, and 101.
The prime factorization of 2020 is: 22 × 5 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2020 is divided by 2 to get 1010.
Step 2: Now divide 1010 by 2 to get 505.
Step 3: Then divide 505 by 5 to get 101. Here, 101 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2020 is: 22 × 5 × 101.
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 2020: (1, 2020), (2, 1010), (4, 505), (5, 404), (10, 202), (20, 101).
Negative factor pairs of 2020: (-1, -2020), (-2, -1010), (-4, -505), (-5, -404), (-10, -202), (-20, -101).
Common Mistakes and How to Avoid Them in Factors of 2020
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 2020, 1 and 2020 are also factors.
Factors of 2020 Examples
Problem 1
There are 20 colleagues and 2020 candies. How will they divide it equally?
They will get 101 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of colleagues.
2020/20 = 101
Problem 2
A banner is rectangular, the length of the banner is 10 meters and the total area is 2020 square meters. Find the width?
202 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
2020 = 10 × width
To find the value of width, we need to divide 2020 by 10.
2020/10 = width
Width = 202.
Problem 3
There are 404 baskets and 2020 apples. How many apples will be in each basket?
Each basket will have 5 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
2020/404 = 5
Problem 4
In a workshop, there are 505 participants and 5 groups. How many participants are there in each group?
There are 101 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
505/5 = 101
Problem 5
2020 books need to be arranged in 101 shelves. How many books will go on each shelf?
Each of the shelves has 20 books.
Explanation
Divide total books by shelves.
2020/101 = 20
FAQs on Factors of 2020
1.What are the factors of 2020?
2.Mention the prime factors of 2020.
3.Is 2020 a multiple of 5?
4.Mention the factor pairs of 2020?
5.What is the square of 2020?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 2020?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 2020 with numbers?
8.What role do numbers and Factors of 2020 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 2020 skills?
Important Glossaries for Factors of 2020
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, and 2020.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 101 are prime factors of 2020.
- 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 2020 are (1, 2020), (2, 1010), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For 2020, it's 22 × 5 × 101.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in United Arab Emirates
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.
