Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To arrange the plants equally, we need to divide the total plants by the number of rows.
603/3 = 201
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.
To find the number of pieces, divide the total length of fabric by the length of each piece.
603/67 = 9
There are 201 students who need to form 3 teams. How many students will be in each team?
Each team will have 67 students.
To find the number of students in each team, divide the total students by the number of teams.
201/3 = 67
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.
Dividing the chairs by the total rows, we will get the number of chairs in each row.
603/3 = 201
603 books need to be distributed equally among 3 libraries. How many books will each library receive?
Each library will receive 201 books.
Divide total books by libraries.
603/3 = 201
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.
: She loves to read number jokes and games.