102 LearnersLast updated on May 26th, 2025
Factors of 1081
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 1081, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1081?
The numbers that divide 1081 evenly are known as factors of 1081.
A factor of 1081 is a number that divides the number without remainder.
The factors of 1081 are 1, 23, 47, and 1081.
Negative factors of 1081: -1, -23, -47, and -1081.
Prime factors of 1081: 23 and 47.
Prime factorization of 1081: 23 × 47.
The sum of factors of 1081: 1 + 23 + 47 + 1081 = 1152
How to Find Factors of 1081?
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 1081. Identifying the numbers which are multiplied to get the number 1081 is the multiplication method.
Step 1: Multiply 1081 by 1, 1081 × 1 = 1081.
Step 2: Check for other numbers that give 1081 after multiplying
23 × 47 = 1081
Therefore, the positive factor pairs of 1081 are: (1, 1081) and (23, 47).
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 as whole numbers as factors. Factors can be calculated by following the simple division method -
Step 1: Divide 1081 by 1, 1081 ÷ 1 = 1081.
Step 2: Continue dividing 1081 by the numbers until the remainder becomes 0.
1081 ÷ 1 = 1081
1081 ÷ 23 = 47
1081 ÷ 47 = 23
Therefore, the factors of 1081 are: 1, 23, 47, and 1081.
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 1081 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1081 ÷ 23 = 47 47 ÷ 47 = 1 The prime factors of 1081 are 23 and 47. The prime factorization of 1081 is: 23 × 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, 1081 is divided by 23 to get 47.
Step 2: 47 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1081 is: 23 × 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 1081: (1, 1081) and (23, 47).
Negative factor pairs of 1081: (-1, -1081) and (-23, -47).
Common Mistakes and How to Avoid Them in Factors of 1081
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 1081, 1 and 1081 are also factors.
Factors of 1081 Examples
Problem 1
There are 47 students and 1081 candies. How will they divide it equally?
They will get 23 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1081/47 = 23
Problem 2
A rectangular garden has a width of 23 meters and a total area of 1081 square meters. Find the length?
47 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1081 = length × 23
To find the value of length, we need to shift 23 to the left side.
1081/23 = length
Length = 47.
Problem 3
There are 23 boxes and 1081 toys. How many toys will be in each box?
Each box will have 47 toys.
Explanation
To find the toys in each box, divide the total toys by the number of boxes.
1081/23 = 47
Problem 4
In a class, there are 1081 students, and 47 groups. How many students are there in each group?
There are 23 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1081/47 = 23
Problem 5
1081 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 47 books.
Explanation
Divide total books by shelves.
1081/23 = 47
FAQs on Factors of 1081
1.What are the factors of 1081?
2.Mention the prime factors of 1081.
3.Is 1081 a multiple of 47?
4.Mention the factor pairs of 1081?
5.What is the square of 1081?
6.How can children in United States use numbers in everyday life to understand Factors of 1081?
7.What are some fun ways kids in United States can practice Factors of 1081 with numbers?
8.What role do numbers and Factors of 1081 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1081 skills?
Important Glossaries for Factor of 1081
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1081 are 1, 23, 47, and 1081.
- Prime factors: The factors which are prime numbers. For example, 23 and 47 are prime factors of 1081.
- 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 1081 are (1, 1081) and (23, 47).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the original number by whole numbers and identifying those that leave no remainder.
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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
: She loves to read number jokes and games.
