118 LearnersLast updated on May 26th, 2025
Factors of 591
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.
What are the Factors of 591?
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
How to Find Factors of 591?
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 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.
Finding Factors Using Division Method
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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 591
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 591, 1 and 591 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 591 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 591/1.5 = 394, 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 591 are prime numbers.
For example, 3 and 197 are the prime factors of 591, but it has other factors like 1, 591.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 591 as 3 × 197 and missing all the key factors.
Factors of 591 Examples
Problem 1
There are 3 students and 591 pages in a book. How will they divide it equally among themselves?
They will get 197 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
591/3 = 197
Problem 2
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.
Explanation
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.
Problem 3
There are 197 containers and 591 marbles. How many marbles will be in each container?
Each container will have 3 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the number of containers.
591/197 = 3
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
591/3 = 197
Problem 5
591 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 197 books.
Explanation
Divide total books by shelves.
591/3 = 197
FAQs on Factors of 591
1.What are the factors of 591?
2.Mention the prime factors of 591.
3.Is 591 a multiple of 3?
4.Mention the factor pairs of 591?
5.What is the square of 591?
Important Glossaries for Factor of 591
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 591 are 1, 3, 197, and 591.
- Prime factors: The factors which are prime numbers. For example, 3 and 197 are prime factors of 591.
- 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 591 are (1, 591) and (3, 197).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 591 is 3 × 197.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using 3 × 197 = 591 to determine the factors of 591.
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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.
