100 LearnersLast updated on May 27th, 2025
Factors of 1183
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 1183, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1183?
The numbers that divide 1183 evenly are known as factors of 1183.
A factor of 1183 is a number that divides the number without remainder.
The factors of 1183 are 1 and 1183, as it is a prime number.
Negative factors of 1183: -1 and -1183.
Prime factors of 1183: 1183 itself, since it is a prime number.
Prime factorization of 1183: 11831.
The sum of factors of 1183: 1 + 1183 = 1184
How to Find Factors of 1183?
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 1183. Since 1183 is a prime number, the only multiplication combination is:
Step 1: Multiply 1183 by 1, 1183 × 1 = 1183.
Therefore, the only positive factor pair of 1183 is: (1, 1183).
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 a simple division method:
Step 1: Divide 1183 by 1, 1183 ÷ 1 = 1183.
Step 2: Continue dividing 1183 by other numbers, but only 1 and 1183 divide it evenly, proving it has no other factors.
Therefore, the factors of 1183 are: 1 and 1183.
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: Since 1183 is a prime number, its only prime factor is itself.
Using a factor tree is not applicable here as it is already in its simplest form.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, for 1183, since it is a prime number, it cannot be broken down further.
The prime factorization of 1183 is: 11831.
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 1183: (1, 1183).
Negative factor pairs of 1183: (-1, -1183).
Common Mistakes and How to Avoid Them in Factors of 1183
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 1183, 1 and 1183 are also factors.
Factors of 1183 Examples
Problem 1
There are 1183 students and 1 prize. How will it be distributed?
Only one student will receive the prize, as there is only one prize.
Explanation
Since there is only one prize, it can be given to one student.
Problem 2
A marathon track is 1183 meters long and needs to be divided into equal sections. How many sections will there be if each section is 1 meter?
There will be 1183 sections.
Explanation
To find the number of sections, divide the total length by the section length.
1183/1 = 1183
Problem 3
A statue weighing 1183 kilograms needs to be transported using 1 truck. How many kilograms will the truck carry?
The truck will carry 1183 kilograms.
Explanation
The truck carries the entire weight of the statue, which is 1183 kilograms.
Problem 4
A library has 1183 books and 1 shelf. How many books will be on the shelf?
There will be 1183 books on the shelf.
Explanation
All books are placed on the single shelf, so 1183 books are on it.
Problem 5
A line of 1183 people needs to be formed into a single-file line. How many people will be in the line?
There will be 1183 people in the line.
Explanation
All 1183 people form one continuous line.
FAQs on Factors of 1183
1.What are the factors of 1183?
2.Mention the prime factors of 1183.
3.Is 1183 a multiple of 2?
4.Mention the factor pairs of 1183?
5.What is the square of 1183?
Important Glossaries for Factors of 1183
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1183 are 1 and 1183.
- Prime factors: The factors which are prime numbers. For example, 1183 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1183 is (1, 1183).
- Prime number: A number greater than 1 with no divisors other than 1 and itself. For example, 1183 is a prime number.
- Sum of factors: The total of all factors of a number. For example, the sum of factors of 1183 is 1184.
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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.
