100 LearnersLast updated on May 26th, 2025
Factors of 1083
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 1083, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1083?
The numbers that divide 1083 evenly are known as factors of 1083.
A factor of 1083 is a number that divides the number without remainder.
The factors of 1083 are 1, 3, 19, 57, 361, and 1083.
Negative factors of 1083: -1, -3, -19, -57, -361, and -1083.
Prime factors of 1083: 3 and 19.
Prime factorization of 1083: 3 × 19 × 19.
The sum of factors of 1083: 1 + 3 + 19 + 57 + 361 + 1083 = 1524
How to Find Factors of 1083?
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 1083. Identifying the numbers which are multiplied to get the number 1083 is the multiplication method.
Step 1: Multiply 1083 by 1, 1083 × 1 = 1083.
Step 2: Check for other numbers that give 1083 after multiplying
3 × 361 = 1083
19 × 57 = 1083
Therefore, the positive factor pairs of 1083 are: (1, 1083), (3, 361), and (19, 57).
All these factor pairs result in 1083.
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 1083 by 1, 1083 ÷ 1 = 1083.
Step 2: Continue dividing 1083 by the numbers until the remainder becomes 0.
1083 ÷ 1 = 1083
1083 ÷ 3 = 361
1083 ÷ 19 = 57
Therefore, the factors of 1083 are: 1, 3, 19, 57, 361, and 1083.
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 1083 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1083 ÷ 3 = 361
361 ÷ 19 = 19
19 ÷ 19 = 1
The prime factors of 1083 are 3 and 19.
The prime factorization of 1083 is: 3 × 19 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1083 is divided by 3 to get 361.
Step 2: Now divide 361 by 19 to get 19.
Step 3: Divide 19 by 19 to get 1.
Here, 19 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1083 is: 3 × 19 × 19.
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 1083: (1, 1083), (3, 361), and (19, 57).
Negative factor pairs of 1083: (-1, -1083), (-3, -361), and (-19, -57).
Common Mistakes and How to Avoid Them in Factors of 1083
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 1083, 1 and 1083 are also factors.
Factors of 1083 Examples
Problem 1
There are 3 teams and 1083 participants. How will they divide it equally?
They will have 361 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1083/3 = 361
Problem 2
A rectangular plot has a width of 19 meters and the total area is 1083 square meters. Find the length?
57 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
1083 = length × 19
To find the value of the length, we need to shift 19 to the left side.
1083/19 = length
Length = 57.
Problem 3
There are 19 baskets and 1083 apples. How many apples will be in each basket?
Each basket will have 57 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1083/19 = 57
Problem 4
In a class, there are 1083 students, and 3 graders. How many students are there per grader?
There are 361 students per grader.
Explanation
Dividing the students by the total graders, we will get the number of students per grader.
1083/3 = 361
Problem 5
1083 books need to be arranged in 57 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books by shelves.
1083/57 = 19
FAQs on Factors of 1083
1.What are the factors of 1083?
2.Mention the prime factors of 1083.
3.Is 1083 a multiple of 3?
4.Mention the factor pairs of 1083?
5.What is the square of 1083?
6.How can children in Australia use numbers in everyday life to understand Factors of 1083?
7.What are some fun ways kids in Australia can practice Factors of 1083 with numbers?
8.What role do numbers and Factors of 1083 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1083 skills?
Important Glossaries for Factor of 1083
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1083 are 1, 3, 19, 57, 361, and 1083.
- Prime factors: The factors which are prime numbers. For example, 3 and 19 are prime factors of 1083.
- 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 1083 are (1, 1083), (3, 361), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1083 is 3 × 19 × 19.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1083 is a multiple of 3.
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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.
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