100 LearnersLast updated on May 26th, 2025
Factors of 2047
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 2047, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2047?
The numbers that divide 2047 evenly are known as factors of 2047.
A factor of 2047 is a number that divides the number without remainder.
The factors of 2047 are 1, 89, 23, and 2047.
Negative factors of 2047: -1, -89, -23, and -2047.
Prime factors of 2047: 89 and 23.
Prime factorization of 2047: 89 × 23.
The sum of factors of 2047: 1 + 89 + 23 + 2047 = 2160
How to Find Factors of 2047?
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 2047. Identifying the numbers which are multiplied to get the number 2047 is the multiplication method.
Step 1: Multiply 2047 by 1, 2047 × 1 = 2047.
Step 2: Check for other numbers that give 2047 after multiplying
89 × 23 = 2047
Therefore, the positive factor pairs of 2047 are: (1, 2047) and (89, 23).
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 that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 2047 by 1, 2047 ÷ 1 = 2047.
Step 2: Continue dividing 2047 by the numbers until the remainder becomes 0.
2047 ÷ 1 = 2047
2047 ÷ 23 = 89
2047 ÷ 89 = 23
Therefore, the factors of 2047 are: 1, 23, 89, and 2047.
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 2047 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2047 ÷ 23 = 89
89 ÷ 89 = 1
The prime factors of 2047 are 89 and 23.
The prime factorization of 2047 is: 89 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2047 is divided by 23 to get 89.
Step 2: Divide 89 by 89 to get 1. So, the prime factorization of 2047 is: 89 × 23.
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 2047: (1, 2047) and (23, 89).
Negative factor pairs of 2047: (-1, -2047) and (-23, -89).
Common Mistakes and How to Avoid Them in Factors of 2047
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 word. Always remember to include 1 and the number itself.
For example, in factors of 2047, 1 and 2047 are also factors.
Factors of 2047 Examples
Problem 1
There are 23 students and 2047 candies. How will they divide it equally?
They will get 89 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
2047/23 = 89
Problem 2
A garden is rectangular, the length of the garden is 23 meters and the total area is 2047 square meters. Find the width.
89 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2047 = 23 × width
To find the value of width, we need to shift 23 to the left side.
2047/23 = width Width = 89.
Problem 3
There are 89 packages and 2047 items. How many items will be in each package?
Each package will have 23 items.
Explanation
To find the items in each package, divide the total items with the packages.
2047/89 = 23
Problem 4
In a conference, there are 2047 attendees, and 89 groups. How many attendees are there in each group?
There are 23 attendees in each group.
Explanation
Dividing the attendees with the total groups, we will get the number of attendees in each group.
2047/89 = 23
Problem 5
2047 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 89 books.
Explanation
Divide total books with shelves.
2047/23 = 89
FAQs on Factors of 2047
1.What are the factors of 2047?
2.Mention the prime factors of 2047.
3.Is 2047 a multiple of 23?
4.Mention the factor pairs of 2047?
5.What is the square of 2047?
6.How can children in Australia use numbers in everyday life to understand Factors of 2047?
7.What are some fun ways kids in Australia can practice Factors of 2047 with numbers?
8.What role do numbers and Factors of 2047 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2047 skills?
Important Glossaries for Factor of 2047
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2047 are 1, 23, 89, and 2047.
- Prime factors: The factors which are prime numbers. For example, 23 and 89 are prime factors of 2047.
- 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 2047 are (1, 2047) and (23, 89).
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to a given number. For example, using the multiplication method for 2047 gives pairs like (1, 2047) and (23, 89).
- Prime factorization: The expression of a number as the product of its prime factors. For 2047, it is 89 × 23.
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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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