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Last updated on May 26th, 2025

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Factors of 592

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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 items equally, arranging things, etc. In this topic, we will learn about the factors of 592, how they are used in real life, and tips to learn them quickly.

Factors of 592 for US Students
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What are the Factors of 592?

The numbers that divide 592 evenly are known as factors of 592.

 

A factor of 592 is a number that divides the number without remainder.

 

The factors of 592 are 1, 2, 4, 8, 74, 148, 296, and 592.

 

Negative factors of 592: -1, -2, -4, -8, -74, -148, -296, and -592.

 

Prime factors of 592: 2 and 37.

 

Prime factorization of 592: 24 × 37.

 

The sum of factors of 592: 1 + 2 + 4 + 8 + 74 + 148 + 296 + 592 = 1125

factors of 592

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How to Find Factors of 592?

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 592. Identifying the numbers which are multiplied to get the number 592 is the multiplication method.

 

Step 1: Multiply 592 by 1, 592 × 1 = 592.

 

Step 2: Check for other numbers that give 592 after multiplying:

 

2 × 296 = 592

4 × 148 = 592

8 × 74 = 592

 

Therefore, the positive factor pairs of 592 are: (1, 592), (2, 296), (4, 148), (8, 74). All these factor pairs result in 592. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

 

Step 1: Divide 592 by 1, 592 ÷ 1 = 592.

 

Step 2: Continue dividing 592 by the numbers until the remainder becomes 0.

 

592 ÷ 1 = 592

592 ÷ 2 = 296

592 ÷ 4 = 148

592 ÷ 8 = 74

 

Therefore, the factors of 592 are: 1, 2, 4, 8, 74, 148, 296, 592.

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

 

592 ÷ 2 = 296

296 ÷ 2 = 148

148 ÷ 2 = 74

74 ÷ 2 = 37

37 ÷ 37 = 1

 

The prime factors of 592 are 2 and 37.

 

The prime factorization of 592 is: 2^4 × 37.

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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, 592 is divided by 2 to get 296.

 

Step 2: Now divide 296 by 2 to get 148.

 

Step 3: Then divide 148 by 2 to get 74.

 

Step 4: Divide 74 by 2 to get 37. Here, 37 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 592 is: 2^4 × 37.

 

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 592: (1, 592), (2, 296), (4, 148), (8, 74).

 

Negative factor pairs of 592: (-1, -592), (-2, -296), (-4, -148), (-8, -74).

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Common Mistakes and How to Avoid Them in Factors of 592

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 592, 1 and 592 are also factors.

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Factors of 592 Examples

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Problem 1

There are 8 teams and 592 points to distribute equally. How many points will each team get?

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Each team will get 74 points.

Explanation

To divide the points equally, we need to divide the total points by the number of teams.

 

592/8 = 74

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Problem 2

A rectangular garden has a length of 74 meters and a total area of 592 square meters. Find the width.

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8 meters.

Explanation

To find the width of the garden, we use the formula,

 

Area = length × width

 

592 = 74 × width

 

To find the value of width, we need to shift 74 to the left side.

 

592/74 = width

 

Width = 8.

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Problem 3

There are 4 storage boxes and 592 items. How many items will be in each box?

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Each box will have 148 items.

Explanation

To find the items in each box, divide the total items by the number of boxes.

 

592/4 = 148

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Problem 4

In a workshop, there are 592 participants, and 37 tables. How many participants are there at each table?

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There are 16 participants at each table.

Explanation

Dividing the participants by the total tables, we will get the number of participants at each table.

 

592/37 = 16

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Problem 5

592 books need to be arranged on 2 shelves. How many books will go on each shelf?

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Each of the shelves has 296 books.

Explanation

Divide total books by shelves.

 

592/2 = 296

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FAQs on Factors of 592

1.What are the factors of 592?

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2.Mention the prime factors of 592.

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3.Is 592 a multiple of 4?

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4.Mention the factor pairs of 592?

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5.What is the square of 592?

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6.How can children in United States use numbers in everyday life to understand Factors of 592?

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7.What are some fun ways kids in United States can practice Factors of 592 with numbers?

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8.What role do numbers and Factors of 592 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 592 skills?

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Important Glossaries for Factors of 592

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 592 are 1, 2, 4, 8, 74, 148, 296, and 592.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 37 are prime factors of 592.

 

  • 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 592 are (1, 592), (2, 296), etc.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 592 is 24 × 37.

 

  • Negative factors: The negative counterparts of the positive factors. For example, -1, -2, -4, -8, -74, -148, -296, and -592 are negative factors of 592.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 592, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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