125 LearnersLast updated on May 26th, 2025
Factors of 580
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 580, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 580?
The numbers that divide 580 evenly are known as factors of 580.
A factor of 580 is a number that divides the number without remainder.
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580.
Negative factors of 580: -1, -2, -4, -5, -10, -20, -29, -58, -116, -145, -290, and -580.
Prime factors of 580: 2, 5, and 29.
Prime factorization of 580: 2 × 2 × 5 × 29.
The sum of factors of 580: 1 + 2 + 4 + 5 + 10 + 20 + 29 + 58 + 116 + 145 + 290 + 580 = 1260
How to Find Factors of 580?
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 580. Identifying the numbers which are multiplied to get the number 580 is the multiplication method.
Step 1: Multiply 580 by 1, 580 × 1 = 580.
Step 2: Check for other numbers that give 580 after multiplying
2 × 290 = 580
4 × 145 = 580
5 × 116 = 580
10 × 58 = 580
20 × 29 = 580
Therefore, the positive factor pairs of 580 are: (1, 580), (2, 290), (4, 145), (5, 116), (10, 58), (20, 29). 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 580 by 1, 580 ÷ 1 = 580.
Step 2: Continue dividing 580 by the numbers until the remainder becomes 0.
580 ÷ 1 = 580
580 ÷ 2 = 290
580 ÷ 4 = 145
580 ÷ 5 = 116
580 ÷ 10 = 58
580 ÷ 20 = 29
Therefore, the factors of 580 are: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
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 580 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
580 ÷ 2 = 290
290 ÷ 2 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
The prime factors of 580 are 2, 5, and 29.
The prime factorization of 580 is: 2 × 2 × 5 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 580 is divided by 2 to get 290.
Step 2: Now divide 290 by 2 to get 145.
Step 3: Then divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 580 is: 2 × 2 × 5 × 29.
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 580: (1, 580), (2, 290), (4, 145), (5, 116), (10, 58), (20, 29).
Negative factor pairs of 580: (-1, -580), (-2, -290), (-4, -145), (-5, -116), (-10, -58), (-20, -29).
Common Mistakes and How to Avoid Them in Factors of 580
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 number. Always remember to include 1 and the number itself.
For example, in factors of 580, 1 and 580 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 580 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 580/1.5 = 386.666, 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 580 are prime numbers.
For instance, 2, 5, and 29 are the prime factors of 580, but it has other factors like 10, 145.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 580 as 2 × 2 × 5 × 29 and missing all the key factors.
Factors of 580 Examples
Problem 1
There are 29 students in a class and 580 candies. How will they divide them equally?
They will get 20 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
580/29 = 20
Problem 2
A garden is rectangular, the length of the garden is 58 meters, and the total area is 580 square meters. Find the width?
10 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
580 = 58 × width
To find the value of width, we need to shift 58 to the left side.
580/58 = width
Width = 10.
Problem 3
There are 116 seats in a theater and 580 tickets sold. How many people will sit in each row?
Each row will have 5 people.
Explanation
To find the people in each row, divide the total tickets by the seats.
580/116 = 5
Problem 4
In a library, there are 580 books, and 5 sections. How many books are there in each section?
There are 116 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
580/5 = 116
Problem 5
580 pages need to be printed in 10 booklets. How many pages will go in each booklet?
Each booklet has 58 pages.
Explanation
Divide total pages by booklets.
580/10 = 58
FAQs on Factors of 580
1.What are the factors of 580?
2.Mention the prime factors of 580.
3.Is 580 a multiple of 4?
4.Mention the factor pairs of 580?
5.What is the square of 580?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 580?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 580 with numbers?
8.What role do numbers and Factors of 580 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 580 skills?
Important Glossaries for Factor of 580
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 580.
- 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 580 are (1, 580), (2, 290), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 580 = 2 × 2 × 5 × 29.
- Negative factors: Factors that are negative numbers. For instance, negative factors of 580 are -1, -2, -4, -5, -10, -20, -29, -58, -116, -145, -290, -580.
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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.
