101 LearnersLast updated on May 26th, 2025
Factors of 2027
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 2027, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2027?
The numbers that divide 2027 evenly are known as factors of 2027.
A factor of 2027 is a number that divides the number without a remainder.
The factors of 2027 are 1, 43, and 2027.
Negative factors of 2027: -1, -43, and -2027.
Prime factors of 2027: 43.
Prime factorization of 2027: 43 × 47.
The sum of factors of 2027: 1 + 43 + 2027 = 2071
How to Find Factors of 2027?
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 2027. Identifying the numbers which are multiplied to get the number 2027 is the multiplication method.
Step 1: Multiply 2027 by 1, 2027 × 1 = 2027.
Step 2: Check for other numbers that give 2027 after multiplying
Therefore, the positive factor pairs of 2027 are: (1, 2027), (43, 47).
All these factor pairs result in 2027.
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 2027 by 1, 2027 ÷ 1 = 2027.
Step 2: Continue dividing 2027 by the numbers until the remainder becomes 0.
2027 ÷ 1 = 2027
2027 ÷ 43 = 47
Therefore, the factors of 2027 are: 1, 43, 2027.
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 2027 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2027 ÷ 43 = 47
47 ÷ 47 = 1
The prime factors of 2027 are 43 and 47.
The prime factorization of 2027 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, 2027 is divided by 43 to get 47.
Step 2: Now divide 47 by 47 to get 1. Here, 47 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2027 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 2027: (1, 2027), (43, 47).
Negative factor pairs of 2027: (-1, -2027), (-43, -47).
Common Mistakes and How to Avoid Them in Factors of 2027
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 2027, 1 and 2027 are also factors.
Factors of 2027 Examples
Problem 1
There are 43 students and 2027 sweets. How will they divide it equally?
They will get 47 sweets each.
Explanation
To divide the sweets equally, we need to divide the total sweets with the number of students.
2027/43 = 47
Problem 2
A rectangular banner has a width of 47 meters and the total area is 2027 square meters. Find the length?
43 meters.
Explanation
To find the length of the banner, we use the formula,
Area = length × width
2027 = length × 47
To find the value of length, we need to shift 47 to the left side.
2027/47 = length
Length = 43.
Problem 3
There are 1 classroom and 2027 chairs. How many chairs will be in each classroom?
Each classroom will have 2027 chairs.
Explanation
To find the chairs in each classroom, divide the total chairs by the number of classrooms.
2027/1 = 2027
Problem 4
In a meeting, there are 2027 attendees and 47 groups. How many attendees are there in each group?
There are 43 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
2027/47 = 43
Problem 5
2027 pages need to be distributed in 43 folders. How many pages will go in each folder?
Each of the folders has 47 pages.
Explanation
Divide total pages by folders.
2027/43 = 47
FAQs on Factors of 2027
1.What are the factors of 2027?
2.Mention the prime factors of 2027.
3.Is 2027 a multiple of 43?
4.Mention the factor pairs of 2027?
5.What is the square of 2027?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 2027?
7.What are some fun ways kids in Bahrain can practice Factors of 2027 with numbers?
8.What role do numbers and Factors of 2027 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 2027 skills?
Important Glossaries for Factor of 2027
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2027 are 1, 43, and 2027.
- Prime factors: The factors which are prime numbers. For example, 43 and 47 are prime factors of 2027.
- 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 2027 are (1, 2027) and (43, 47).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 2027 is 43 × 47.
- Multiplication method: A method to find factors by checking which pairs of numbers multiply to the target number. For example, using multiplication, we find that 43 × 47 = 2027.
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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.
