106 LearnersLast updated on May 26th, 2025
Factors of 183
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 183, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 183?
The numbers that divide 183 evenly are known as factors of 183. A factor of 183 is a number that divides the number without remainder. The factors of 183 are 1, 3, 61, and 183.
Negative factors of 183: -1, -3, -61, and -183.
Prime factors of 183: 3 and 61.
Prime factorization of 183: 3 × 61.
The sum of factors of 183: 1 + 3 + 61 + 183 = 248
How to Find Factors of 183?
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 183. Identifying the numbers which are multiplied to get the number 183 is the multiplication method.
Step 1: Multiply 183 by 1, 183 × 1 = 183.
Step 2: Check for other numbers that give 183 after multiplying 3 × 61 = 183
Therefore, the positive factor pairs of 183 are: (1, 183), (3, 61). All these factor pairs result in 183. 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 a whole numbers as factors. Factors can be calculated by following simple division method -
Step 1: Divide 183 by 1, 183 ÷ 1 = 183.
Step 2: Continue dividing 183 by the numbers until the remainder becomes 0.
183 ÷ 1 = 183
183 ÷ 3 = 61
Therefore, the factors of 183 are: 1, 3, 61, 183.
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 183 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
183 ÷ 3 = 61
61 ÷ 61 = 1
The prime factors of 183 are 3 and 61. The prime factorization of 183 is: 3 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 183 is divided by 3 to get 61.
Step 2: Now divide 61 by 61 to get 1. Here, 61 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 183 is: 3 × 61.
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 183: (1, 183), (3, 61).
- Negative factor pairs of 183: (-1, -183), (-3, -61).
Common Mistakes and How to Avoid Them in Factors of 183
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 183, 1 and 183 are also factors.
Factors of 183 Examples
Problem 1
There are 3 teams and 183 apples. How will they divide it equally?
They will get 61 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
183/3 = 61
Problem 2
A garden is rectangular, the width of the garden is 3 meters and the total area is 183 square meters. Find the length?
61 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
183 = 3 × length
To find the value of length, we need to shift 3 to the left side.
183/3 = length
Length = 61.
Problem 3
There are 61 bundles of flowers and 183 flowers. How many flowers will be in each bundle?
Each bundle will have 3 flowers.
Explanation
To find the flowers in each bundle, divide the total flowers by the bundles.
183/61 = 3
Problem 4
In a class, there are 183 students, and 3 teachers. How many students are there in each group?
There are 61 students in each group.
Explanation
Dividing the students with the total teachers, we will get the number of students in each group.
183/3 = 61
Problem 5
183 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 61 books.
Explanation
Divide total books by shelves.
183/3 = 61
FAQs on Factors of 183
1.What are the factors of 183?
2.Mention the prime factors of 183.
3.Is 183 a multiple of 3?
4.Mention the factor pairs of 183?
5.What is the square of 183?
Important Glossaries for Factors of 183
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 183 are 1, 3, 61, and 183.
- Prime factors: The factors which are prime numbers. For example, 3 and 61 are prime factors of 183.
- 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 183 are (1, 183) and (3, 61).
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 183 is 3 × 61.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 183 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.
Fun Fact
: She loves to read number jokes and games.
