100 LearnersLast updated on May 26th, 2025
Factors of 1084
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 1084, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1084?
The numbers that divide 1084 evenly are known as factors of 1084.
A factor of 1084 is a number that divides the number without remainder.
The factors of 1084 are 1, 2, 4, 271, 542, and 1084.
Negative factors of 1084: -1, -2, -4, -271, -542, and -1084.
Prime factors of 1084: 2 and 271.
Prime factorization of 1084: 2² × 271.
The sum of factors of 1084: 1 + 2 + 4 + 271 + 542 + 1084 = 1904
How to Find Factors of 1084?
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 1084. Identifying the numbers which are multiplied to get the number 1084 is the multiplication method.
Step 1: Multiply 1084 by 1, 1084 × 1 = 1084.
Step 2: Check for other numbers that give 1084 after multiplying
2 × 542 = 1084
4 × 271 = 1084
Therefore, the positive factor pairs of 1084 are: (1, 1084), (2, 542), and (4, 271).
All these factor pairs result in 1084.
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 1084 by 1, 1084 ÷ 1 = 1084.
Step 2: Continue dividing 1084 by the numbers until the remainder becomes 0.
1084 ÷ 1 = 1084
1084 ÷ 2 = 542
1084 ÷ 4 = 271
Therefore, the factors of 1084 are: 1, 2, 4, 271, 542, 1084.
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 1084 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1084 ÷ 2 = 542
542 ÷ 2 = 271
271 is a prime number.
The prime factors of 1084 are 2 and 271.
The prime factorization of 1084 is: 2² × 271.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1084 is divided by 2 to get 542.
Step 2: Now divide 542 by 2 to get 271.
271 is a prime number and cannot be divided further.
So, the prime factorization of 1084 is: 2² × 271.
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 1084: (1, 1084), (2, 542), and (4, 271).
Negative factor pairs of 1084: (-1, -1084), (-2, -542), and (-4, -271).
Common Mistakes and How to Avoid Them in Factors of 1084
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1084, 1 and 1084 are also factors.
Factors of 1084 Examples
Problem 1
There are 4 friends and 1084 candies. How will they divide it equally?
They will get 271 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1084/4 = 271
Problem 2
A rectangular painting has a length of 2 meters and a total area of 1084 square meters. Find the width.
542 meters.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
1084 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1084/2 = width
Width = 542.
Problem 3
There are 542 boxes and 1084 items. How many items will be in each box?
Each box will have 2 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1084/542 = 2
Problem 4
In a class, there are 1084 students, and 271 groups. How many students are there in each group?
There are 4 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1084/271 = 4
Problem 5
1084 books need to be arranged in 542 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by shelves.
1084/542 = 2
FAQs on Factors of 1084
1.What are the factors of 1084?
2.Mention the prime factors of 1084.
3.Is 1084 a multiple of 4?
4.Mention the factor pairs of 1084?
5.What is the square of 1084?
6.How can children in Australia use numbers in everyday life to understand Factors of 1084?
7.What are some fun ways kids in Australia can practice Factors of 1084 with numbers?
8.What role do numbers and Factors of 1084 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1084 skills?
Important Glossaries for Factors of 1084
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1084 are 1, 2, 4, 271, 542, and 1084.
- Prime factors: The factors which are prime numbers. For example, 2 and 271 are prime factors of 1084.
- 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 1084 are (1, 1084), (2, 542), and (4, 271).
- Prime factorization: The process of expressing a number as the product of its prime factors. For 1084, it is 2² × 271.
- Multiple: A number that can be divided by another number without a remainder. For example, 1084 is a multiple of 4.
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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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