121 LearnersLast updated on May 26th, 2025
Factors of 589
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 589, how they are used in real life, and tips to learn them quickly.
What are the Factors of 589?
The numbers that divide 589 evenly are known as factors of 589.
A factor of 589 is a number that divides the number without a remainder.
The factors of 589 are 1, 19, 31, and 589.
Negative factors of 589: -1, -19, -31, and -589.
Prime factors of 589: 19 and 31.
Prime factorization of 589: 19 × 31.
The sum of factors of 589: 1 + 19 + 31 + 589 = 640
How to Find Factors of 589?
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 589. Identifying the numbers which are multiplied to get the number 589 is the multiplication method.
Step 1: Multiply 589 by 1, 589 × 1 = 589.
Step 2: Check for other numbers that give 589 after multiplying 19 × 31 = 589
Therefore, the positive factor pairs of 589 are: (1, 589) and (19, 31).
All these factor pairs result in 589. 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 589 by 1, 589 ÷ 1 = 589.
Step 2: Continue dividing 589 by the numbers until the remainder becomes 0.
589 ÷ 1 = 589
589 ÷ 19 = 31
589 ÷ 31 = 19
Therefore, the factors of 589 are: 1, 19, 31, 589.
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 589 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
589 ÷ 19 = 31
31 ÷ 31 = 1
The prime factors of 589 are 19 and 31.
The prime factorization of 589 is: 19 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 589 is divided by 19 to get 31.
Step 2: Now divide 31 by 31 to get 1. Here, 31 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 589 is: 19 × 31.
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 589: (1, 589), (19, 31).
Negative factor pairs of 589: (-1, -589), (-19, -31).
Common Mistakes and How to Avoid Them in Factors of 589
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 589, 1 and 589 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 589 consist of -1, -19, -31, 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 589/1.5 = 392.666..., 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 589 are prime numbers.
For example, 19 and 31 are the prime factors of 589, but it has other factors like 1, 589.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 589 as 19 × 31 and missing all the key factors.
Factors of 589 Examples
Problem 1
There are 19 teams and 589 trophies. How will they divide them equally?
They will get 31 trophies each.
Explanation
To divide the trophies equally, we need to divide the total trophies by the number of teams.
589/19 = 31
Problem 2
A garden is rectangular, the length of the garden is 31 meters and the total area is 589 square meters. Find the width?
19 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
589 = 31 × width
To find the value of width, we need to shift 31 to the left side.
589/31 = width
Width = 19.
Problem 3
There are 31 boxes and 589 apples. How many apples will be in each box?
Each box will have 19 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
589/31 = 19
Problem 4
In a class, there are 589 students, and 19 groups. How many students are there in each group?
There are 31 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
589/19 = 31
Problem 5
589 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 31 books.
Explanation
Divide total books by shelves.
589/19 = 31
FAQs on Factors of 589
1.What are the factors of 589?
2.Mention the prime factors of 589.
3.Is 589, a multiple of 19?
4.Mention the factor pairs of 589?
5.What is the square of 589?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 589?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 589 with numbers?
8.What role do numbers and Factors of 589 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 589 skills?
Important Glossaries for Factor of 589
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 589 are 1, 19, 31, and 589.
- Prime factors: The factors which are prime numbers. For example, 19 and 31 are prime factors of 589.
- 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 589 are (1, 589) and (19, 31).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 589 can be expressed as 19 × 31.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the number. For example, identifying (19, 31) as a factor pair of 589.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 589
About BrightChamps in United Arab Emirates
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.
