Last updated on May 26th, 2025
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 591, how they are used in real life, and tips to learn them quickly.
The numbers that divide 591 evenly are known as factors of 591.
A factor of 591 is a number that divides the number without remainder.
The factors of 591 are 1, 3, 197, and 591.
Negative factors of 591: -1, -3, -197, and -591.
Prime factors of 591: 3 and 197.
Prime factorization of 591: 3 × 197.
The sum of factors of 591: 1 + 3 + 197 + 591 = 792
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 591. Identifying the numbers which are multiplied to get the number 591 is the multiplication method.
Step 1: Multiply 591 by 1, 591 × 1 = 591.
Step 2: Check for other numbers that give 591 after multiplying 3 × 197 = 591
Therefore, the positive factor pairs of 591 are: (1, 591), (3, 197). All these factor pairs result in 591. For every positive factor, there is a negative factor.
Dividing the given number 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 591 by 1, 591 ÷ 1 = 591.
Step 2: Continue dividing 591 by the numbers until the remainder becomes 0.
591 ÷ 1 = 591
591 ÷ 3 = 197
Therefore, the factors of 591 are: 1, 3, 197, 591.
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 591 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
591 ÷ 3 = 197
Since 197 is a prime number, it cannot be divided by any other prime numbers except 1 and itself.
The prime factors of 591 are 3 and 197.
The prime factorization of 591 is: 3 × 197.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 591 is divided by 3 to get 197.
Since 197 is a prime number, it cannot be divided further.
So, the prime factorization of 591 is: 3 × 197.
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 591: (1, 591), (3, 197).
Negative factor pairs of 591: (-1, -591), (-3, -197).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 students and 591 pages in a book. How will they divide it equally among themselves?
They will get 197 pages each.
To divide the pages equally, we need to divide the total pages by the number of students.
591/3 = 197
A painting is rectangular, the length of the painting is 3 meters, and the total area is 591 square meters. Find the width.
197 meters.
To find the width of the painting, we use the formula,
Area = length × width
591 = 3 × width
To find the value of the width, we need to shift 3 to the left side.
591/3 = width
Width = 197.
There are 197 containers and 591 marbles. How many marbles will be in each container?
Each container will have 3 marbles.
To find the marbles in each container, divide the total marbles by the number of containers.
591/197 = 3
In a class, there are 591 students, and they form 3 groups. How many students are there in each group?
There are 197 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
591/3 = 197
591 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 197 books.
Divide total books by shelves.
591/3 = 197
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.