102 LearnersLast updated on May 26th, 2025
Factors of 2021
Factors are the numbers that divide any given number evenly without a 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 2021, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2021?
The numbers that divide 2021 evenly are known as factors of 2021.
A factor of 2021 is a number that divides the number without a remainder.
The factors of 2021 are 1, 43, 47, and 2021.
Negative factors of 2021: -1, -43, -47, and -2021.
Prime factors of 2021: 43 and 47.
Prime factorization of 2021: 43 × 47.
The sum of factors of 2021: 1 + 43 + 47 + 2021 = 2112
How to Find Factors of 2021?
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 2021. Identifying the numbers which are multiplied to get the number 2021 is the multiplication method.
Step 1: Multiply 2021 by 1, 2021 × 1 = 2021.
Step 2: Check for other numbers that give 2021 after multiplying 43 × 47 = 2021
Therefore, the positive factor pairs of 2021 are: (1, 2021) and (43, 47).
All these factor pairs result in 2021.
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 2021 by 1, 2021 ÷ 1 = 2021.
Step 2: Continue dividing 2021 by the numbers until the remainder becomes 0.
2021 ÷ 1 = 2021
2021 ÷ 43 = 47
2021 ÷ 47 = 43
Therefore, the factors of 2021 are: 1, 43, 47, and 2021.
Prime Factors and Prime Factorization
The factors can be found by dividing it by 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 2021 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2021 ÷ 43 = 47
47 ÷ 47 = 1
The prime factors of 2021 are 43 and 47.
The prime factorization of 2021 is: 43 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2021 is divided by 43 to get 47.
Step 2: Now divide 47 by 47 to get 1. Here, both 43 and 47 are prime numbers and cannot be divided anymore.
So, the prime factorization of 2021 is: 43 × 47.
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 2021: (1, 2021) and (43, 47).
Negative factor pairs of 2021: (-1, -2021) and (-43, -47).
Common Mistakes and How to Avoid Them in Factors of 2021
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 2021, 1 and 2021 is also a factor.
Factors of 2021 Examples
Problem 1
There are 43 friends and 2021 candies. How will they divide it equally?
They will get 47 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
2021/43 = 47
Problem 2
A rectangular billboard has a width of 43 meters and a total area of 2021 square meters. Find the length.
47 meters.
Explanation
To find the length of the billboard, we use the formula,
Area = length × width
2021 = length × 43
To find the value of length, we need to shift 43 to the left side.
2021/43 = length
Length = 47.
Problem 3
There are 47 boxes and 2021 marbles. How many marbles will be in each box?
Each box will have 43 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
2021/47 = 43
Problem 4
In a class, there are 2021 students, and they want to form 43 groups. How many students will be in each group?
There are 47 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2021/43 = 47
Problem 5
2021 chairs need to be arranged in 47 rows. How many chairs will be in each row?
Each row will have 43 chairs.
Explanation
Divide total chairs by rows.
2021/47 = 43
FAQs on Factors of 2021
1.What are the factors of 2021?
2.Mention the prime factors of 2021.
3.Is 2021 a multiple of 43?
4.Mention the factor pairs of 2021?
5.What is the square of 2021?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 2021?
7.What are some fun ways kids in Bahrain can practice Factors of 2021 with numbers?
8.What role do numbers and Factors of 2021 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 2021 skills?
Important Glossaries for Factor of 2021
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2021 are 1, 43, 47, and 2021.
- Prime factors: The factors which are prime numbers. For example, 43 and 47 are prime factors of 2021.
- 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 2021 are (1, 2021) and (43, 47).
- Multiple: A number that can be divided by another number without a remainder. For example, 2021 is a multiple of 43.
- Prime factorization: Expressing a number as the product of its prime factors. For example, 2021 can be expressed as 43 × 47.
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About BrightChamps in Bahrain
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.
