125 LearnersLast updated on May 26th, 2025
Factors of 603
Factors are the numbers that divide any given number evenly without a 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 603, how they are used in real life, and tips to learn them quickly.
What are the Factors of 603?
The numbers that divide 603 evenly are known as factors of 603.
A factor of 603 is a number that divides the number without a remainder.
The factors of 603 are 1, 3, 201, and 603.
Negative factors of 603: -1, -3, -201, and -603.
Prime factors of 603: 3 and 67.
Prime factorization of 603: 3 × 201.
The sum of factors of 603: 1 + 3 + 201 + 603 = 808
How to Find Factors of 603?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 603. Identifying the numbers which are multiplied to get the number 603 is the multiplication method.
Step 1: Multiply 603 by 1, 603 × 1 = 603.
Step 2: Check for other numbers that give 603 after multiplying
3 × 201 = 603
Therefore, the positive factor pairs of 603 are: (1, 603) and (3, 201). All these factor pairs result in 603. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 603 by 1, 603 ÷ 1 = 603.
Step 2: Continue dividing 603 by the numbers until the remainder becomes 0.
603 ÷ 1 = 603
603 ÷ 3 = 201
Therefore, the factors of 603 are: 1, 3, 201, 603.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 603 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
603 ÷ 3 = 201
201 ÷ 3 = 67
67 ÷ 67 = 1
The prime factors of 603 are 3 and 67.
The prime factorization of 603 is: 3 × 201.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 603 is divided by 3 to get 201.
Step 2: Now divide 201 by 3 to get 67.
Here, 67 is a prime number, and it cannot be divided anymore.
So, the prime factorization of 603 is: 3 × 201.
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 603: (1, 603) and (3, 201).
Negative factor pairs of 603: (-1, -603) and (-3, -201).
Common Mistakes and How to Avoid Them in Factors of 603
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 603, 1 and 603 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 603 consist of -1, -3, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 603/1.5 = 402, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 603 are prime numbers.
For example, 3 and 67 are the prime factors of 603, but it has other factors like 201.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 603 as 3 × 201 and missing all the key factors.
Factors of 603 Examples
Problem 1
A gardener has 603 plants and wants to arrange them in 3 rows. How many plants will be in each row?
There will be 201 plants in each row.
Explanation
To arrange the plants equally, we need to divide the total plants by the number of rows.
603/3 = 201
Problem 2
A piece of fabric is 603 meters long. If you cut it into pieces each 67 meters long, how many pieces do you get?
9 pieces.
Explanation
To find the number of pieces, divide the total length of fabric by the length of each piece.
603/67 = 9
Problem 3
There are 201 students who need to form 3 teams. How many students will be in each team?
Each team will have 67 students.
Explanation
To find the number of students in each team, divide the total students by the number of teams.
201/3 = 67
Problem 4
A school has 603 chairs and needs to arrange them in 3 rows. How many chairs will be in each row?
There will be 201 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
603/3 = 201
Problem 5
603 books need to be distributed equally among 3 libraries. How many books will each library receive?
Each library will receive 201 books.
Explanation
Divide total books by libraries.
603/3 = 201
FAQs on Factors of 603
1.What are the factors of 603?
2.Mention the prime factors of 603.
3.Is 603 a multiple of 3?
4.Mention the factor pairs of 603?
5.What is the square of 603?
6.How can children in Thailand use numbers in everyday life to understand Factors of 603?
7.What are some fun ways kids in Thailand can practice Factors of 603 with numbers?
8.What role do numbers and Factors of 603 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 603 skills?
Important Glossaries for Factors of 603
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 603 are 1, 3, 201, and 603.
- Prime factors: The factors which are prime numbers. For example, 3 and 67 are prime factors of 603.
- 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 603 are (1, 603) and (3, 201).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 603 is 3 × 67.
- Multiplication method: A method used to find factors by identifying number pairs that multiply to the original number. For example, using the multiplication method to find the factors of 603 involves pairs like 3 × 201.
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About BrightChamps in Thailand
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.
