117 LearnersLast updated on May 26th, 2025
Factors of 1803
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 1803, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1803?
The numbers that divide 1803 evenly are known as factors of 1803.
A factor of 1803 is a number that divides the number without remainder.
The factors of 1803 are 1, 3, 601, and 1803.
Negative factors of 1803: -1, -3, -601, and -1803.
Prime factors of 1803: 3 and 601.
Prime factorization of 1803: 3 × 601.
The sum of factors of 1803: 1 + 3 + 601 + 1803 = 2408
How to Find Factors of 1803?
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 1803. Identifying the numbers which are multiplied to get the number 1803 is the multiplication method.
Step 1: Multiply 1803 by 1, 1803 × 1 = 1803.
Step 2: Check for other numbers that give 1803 after multiplying:
3 × 601 = 1803
Therefore, the positive factor pairs of 1803 are: (1, 1803), (3, 601).
All these factor pairs result in 1803.
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 1803 by 1, 1803 ÷ 1 = 1803.
Step 2: Continue dividing 1803 by the numbers until the remainder becomes 0.
1803 ÷ 1 = 1803
1803 ÷ 3 = 601
Therefore, the factors of 1803 are: 1, 3, 601, 1803.
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 1803 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1803 ÷ 3 = 601
601 is a prime number
The prime factors of 1803 are 3 and 601.
The prime factorization of 1803 is: 3 × 601.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1803 is divided by 3 to get 601.
Step 2: 601 is a prime number and cannot be divided further.
So, the prime factorization of 1803 is: 3 × 601.
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 1803: (1, 1803), (3, 601).
Negative factor pairs of 1803: (-1, -1803), (-3, -601).
Common Mistakes and How to Avoid Them in Factors of 1803
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 1803, 1 and 1803 are also factors.
Factors of 1803 Examples
Problem 1
There are 3 students and 1803 books. How will they divide them equally?
They will get 601 books each.
Explanation
To divide the books equally, we need to divide the total books with the number of students.
1803/3 = 601
Problem 2
A piece of land is rectangular, the length of the land is 3 meters and the total area is 1803 square meters. Find the width.
601 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
1803 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1803/3 = width
Width = 601.
Problem 3
There are 601 chairs in a hall and 1803 people. How many people will sit on each chair?
Each chair will have 3 people.
Explanation
To find the number of people per chair, divide the total people by the number of chairs.
1803/601 = 3
Problem 4
In a class, there are 1803 students, and 3 groups. How many students are there in each group?
There are 601 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1803/3 = 601
Problem 5
1803 apples need to be arranged in 3 baskets. How many apples will go in each basket?
Each of the baskets has 601 apples.
Explanation
Divide total apples with baskets.
1803/3 = 601
FAQs on Factors of 1803
1.What are the factors of 1803?
2.Mention the prime factors of 1803.
3.Is 1803 a multiple of 3?
4.Mention the factor pairs of 1803?
5.What is the square of 1803?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1803?
7.What are some fun ways kids in Thailand can practice Factors of 1803 with numbers?
8.What role do numbers and Factors of 1803 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1803 skills?
Important Glossaries for Factors of 1803
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1803 are 1, 3, 601, and 1803.
- Prime factors: The factors which are prime numbers. For example, 3 and 601 are prime factors of 1803.
- 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 1803 are (1, 1803) and (3, 601).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number.
- Prime factorization: The process of breaking down a number into the product of its prime factors. For example, the prime factorization of 1803 is 3 × 601.
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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.
