125 LearnersLast updated on May 26th, 2025
Factors of 590
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 590, how they are used in real life, and tips to learn them quickly.
What are the Factors of 590?
The numbers that divide 590 evenly are known as factors of 590.
A factor of 590 is a number that divides the number without remainder.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590.
Negative factors of 590: -1, -2, -5, -10, -59, -118, -295, and -590.
Prime factors of 590: 2, 5, and 59.
Prime factorization of 590: 2 × 5 × 59.
The sum of factors of 590: 1 + 2 + 5 + 10 + 59 + 118 + 295 + 590 = 1080
How to Find Factors of 590?
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 590. Identifying the numbers which are multiplied to get the number 590 is the multiplication method.
Step 1: Multiply 590 by 1, 590 × 1 = 590.
Step 2: Check for other numbers that give 590 after multiplying
2 × 295 = 590
5 × 118 = 590
10 × 59 = 590
Therefore, the positive factor pairs of 590 are: (1, 590), (2, 295), (5, 118), and (10, 59). All these factor pairs result in 590. 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 590 by 1, 590 ÷ 1 = 590.
Step 2: Continue dividing 590 by the numbers until the remainder becomes 0.
590 ÷ 1 = 590
590 ÷ 2 = 295
590 ÷ 5 = 118
590 ÷ 10 = 59
Therefore, the factors of 590 are: 1, 2, 5, 10, 59, 118, 295, 590.
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 590 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
590 ÷ 2 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
The prime factors of 590 are 2, 5, and 59.
The prime factorization of 590 is: 2 × 5 × 59.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 590 is divided by 2 to get 295.
Step 2: Now divide 295 by 5 to get 59. Here, 59 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 590 is: 2 × 5 × 59.
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 590: (1, 590), (2, 295), (5, 118), and (10, 59).
Negative factor pairs of 590: (-1, -590), (-2, -295), (-5, -118), and (-10, -59).
Common Mistakes and How to Avoid Them in Factors of 590
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 word. Always remember to include 1 and the number itself.
For example, in factors of 590, 1 and 590 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 590 consist of -1, -2, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 590/1.5 = 393.333, 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 590 are prime numbers.
For example, 2, 5, and 59 are the prime factors of 590, but it has other factors like 10, 295.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 590 as 2 × 5 × 59 and missing all the key factors.
Factors of 590 Examples
Problem 1
A company has 590 employees and wants to create 5 equal teams. How many employees will be in each team?
Each team will have 118 employees.
Explanation
To divide the employees equally, we need to divide the total number of employees by the number of teams.
590/5 = 118
Problem 2
A garden is rectangular, the length of the garden is 10 meters, and the total area is 590 square meters. Find the width?
59 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
590 = 10 × width
To find the value of width, we need to shift 10 to the left side.
590/10 = width
Width = 59.
Problem 3
There are 295 training kits and 2 departments. How many kits will each department receive?
Each department will receive 147.5 kits.
Explanation
To find the kits in each department, divide the total kits by the departments.
590/2 = 295
Problem 4
In a conference, there are 590 participants, and 59 groups. How many participants are there in each group?
There are 10 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
590/59 = 10
Problem 5
590 books need to be arranged in 59 shelves. How many books will go on each shelf?
Each of the shelves has 10 books.
Explanation
Divide total books by shelves.
590/59 = 10
FAQs on Factors of 590
1.What are the factors of 590?
2.Mention the prime factors of 590.
3.Is 590 a multiple of 10?
4.Mention the factor pairs of 590?
5.What is the square of 590?
Important Glossaries for Factor of 590
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 59 are prime factors of 590.
- 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 590 are (1, 590), (2, 295), etc.
- Prime factorization: The process of breaking down a number into its prime components. For example, the prime factorization of 590 is 2 × 5 × 59.
- Multiple: A number that can be divided by another number without a remainder. For example, 590 is a multiple of 10.
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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.
