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 580, how they are used in real life, and the tips to learn them quickly.
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
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 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.
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.
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 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.
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).
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 29 students in a class and 580 candies. How will they divide them equally?
They will get 20 candies each.
To divide the candies equally, we need to divide the total candies by the number of students.
580/29 = 20
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.
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.
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.
To find the people in each row, divide the total tickets by the seats.
580/116 = 5
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.
Dividing the books by the total sections, we will get the number of books in each section.
580/5 = 116
580 pages need to be printed in 10 booklets. How many pages will go in each booklet?
Each booklet has 58 pages.
Divide total pages by booklets.
580/10 = 58
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.