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Last updated on May 26th, 2025

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Factors of 584

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Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 584, how they are used in real life, and the tips to learn them quickly.

Factors of 584 for UAE Students
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What are the Factors of 584?

The numbers that divide 584 evenly are known as factors of 584.

 

A factor of 584 is a number that divides the number without remainder.

 

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584.

 

Negative factors of 584: -1, -2, -4, -8, -73, -146, -292, and -584.

 

Prime factors of 584: 2 and 73.

 

Prime factorization of 584: 23 × 73.

 

The sum of factors of 584: 1 + 2 + 4 + 8 + 73 + 146 + 292 + 584 = 1110

factors of 584

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How to Find Factors of 584?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 584. Identifying the numbers which are multiplied to get the number 584 is the multiplication method.

 

Step 1: Multiply 584 by 1, 584 × 1 = 584.

 

Step 2: Check for other numbers that give 584 after multiplying:       

 

2 × 292 = 584      

 4 × 146 = 584      

 8 × 73 = 584

 

Therefore, the positive factor pairs of 584 are: (1, 584), (2, 292), (4, 146), (8, 73). All these factor pairs result in 584. For every positive factor, there is a negative factor.

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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 584 by 1, 584 ÷ 1 = 584.

 

Step 2: Continue dividing 584 by the numbers until the remainder becomes 0.

 

584 ÷ 1 = 584

584 ÷ 2 = 292

584 ÷ 4 = 146

584 ÷ 8 = 73

 

Therefore, the factors of 584 are: 1, 2, 4, 8, 73, 146, 292, 584.

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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 584 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

584 ÷ 2 = 292

292 ÷ 2 = 146

146 ÷ 2 = 73

73 ÷ 73 = 1

 

The prime factors of 584 are 2 and 73.

 

The prime factorization of 584 is: 23 × 73.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

 

Step 1: Firstly, 584 is divided by 2 to get 292.

 

Step 2: Now divide 292 by 2 to get 146.

 

Step 3: Then divide 146 by 2 to get 73.

 

Here, 73 is a prime number, that cannot be divided anymore.

 

So, the prime factorization of 584 is: 23 × 73.

 

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 584: (1, 584), (2, 292), (4, 146), and (8, 73).

 

Negative factor pairs of 584: (-1, -584), (-2, -292), (-4, -146), and (-8, -73).

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Common Mistakes and How to Avoid Them in Factors of 584

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

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Forgetting the number itself and 1 is a factor

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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 584, 1 and 584 are also factors.

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Factors of 584 Examples

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Problem 1

There are 584 marbles and 8 boxes. How will they distribute them equally?

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Each box will contain 73 marbles.

Explanation

To distribute the marbles equally, divide the total marbles by the number of boxes.

 

584/8 = 73

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Problem 2

A construction site has a rectangular plot with a length of 146 meters and a total area of 584 square meters. Find the width.

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4 meters.

Explanation

To find the width of the plot, use the formula,      

 

 Area = length × width      

 

 584 = 146 × width

 

To find the value of width, divide 584 by 146.       

 

584/146 = width       

 

Width = 4.

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Problem 3

There are 292 students and 2 buses. How many students will be in each bus?

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Each bus will have 146 students.

Explanation

To find the students in each bus, divide the total students by the number of buses.       

 

292/2 = 146

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Problem 4

In a library, there are 584 books and 73 shelves. How many books are there on each shelf?

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There are 8 books on each shelf.

Explanation

Dividing the total books by the number of shelves gives the number of books on each shelf.       

 

584/73 = 8

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Problem 5

A company produces 584 units of a product, and they want to pack them in boxes of 4. How many boxes will they need?

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They will need 146 boxes.

Explanation

Divide the total number of units by the units per box.       

 

584/4 = 146

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FAQs on Factors of 584

1.What are the factors of 584?

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2.Mention the prime factors of 584.

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3.Is 584 a multiple of 4?

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4.Mention the factor pairs of 584.

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5.What is the cube of 584?

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6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 584?

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7.What are some fun ways kids in United Arab Emirates can practice Factors of 584 with numbers?

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8.What role do numbers and Factors of 584 play in helping children in United Arab Emirates develop problem-solving skills?

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9.How can families in United Arab Emirates create number-rich environments to improve Factors of 584 skills?

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Important Glossaries for Factor of 584

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584.

     
  • Prime factors: The factors which are prime numbers. For example, 2 and 73 are prime factors of 584.

     
  • 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 584 are (1, 584), (2, 292), etc.

     
  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 584 is 23 × 73.

     
  • Multiple: A number that can be divided by another number without leaving a remainder. For instance, 584 is a multiple of 4.
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About BrightChamps in United Arab Emirates

At BrightChamps, numbers are more than just symbols—they open up a world of chances! We’re dedicated to helping children throughout the UAE build strong math skills, focusing today on Factors of 584 with an emphasis on factors—in a way that’s fun, clear, and engaging. Whether your child is figuring out the speed of a ride at Dubai Parks and Resorts, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning straightforward and fun. Because kids in the UAE have different learning styles, we tailor our teaching to each child. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps brings math to life across the UAE. Let’s turn factors into an exciting part of every child’s math journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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