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Last updated on May 26th, 2025

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Factors of 583

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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 583, how they are used in real life, and tips to learn them quickly.

Factors of 583 for Indian Students
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What are the Factors of 583?

The numbers that divide 583 evenly are known as factors of 583.

 

A factor of 583 is a number that divides the number without remainder.

 

The factors of 583 are 1, 7, 83, and 583.

 

Negative factors of 583: -1, -7, -83, and -583.

 

Prime factors of 583: 7 and 83.

 

Prime factorization of 583: 7 × 83.

 

The sum of factors of 583: 1 + 7 + 83 + 583 = 674

factors of 583

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How to Find Factors of 583?

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 583. Identifying the numbers which are multiplied to get the number 583 is the multiplication method

 

Step 1: Multiply 583 by 1, 583 × 1 = 583.

 

Step 2: Check for other numbers that give 583 after multiplying 7 × 83 = 583

 

Therefore, the positive factor pairs of 583 are: (1, 583) and (7, 83). All these factor pairs result in 583. 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 the simple division method -

 

Step 1: Divide 583 by 1, 583 ÷ 1 = 583.

 

Step 2: Continue dividing 583 by the numbers until the remainder becomes 0.

 

583 ÷ 1 = 583

583 ÷ 7 = 83

 

Therefore, the factors of 583 are: 1, 7, 83, 583.

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

 

583 ÷ 7 = 83

83 ÷ 83 = 1

 

The prime factors of 583 are 7 and 83.

 

The prime factorization of 583 is: 7 × 83.

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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, 583 is divided by 7 to get 83.

 

Step 2: Now divide 83 by 83 to get 1. Here, 83 is a prime number and cannot be divided anymore. So, the prime factorization of 583 is: 7 × 83.

 

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 583: (1, 583) and (7, 83).

 

Negative factor pairs of 583: (-1, -583) and (-7, -83).

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Common Mistakes and How to Avoid Them in Factors of 583

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 583, 1 and 583 are also factors.

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Factors of 583 Examples

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Problem 1

There are 7 people and 583 apples. How will they divide them equally?

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They will get 83 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of people.

 

583/7 = 83

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Problem 2

A rectangular garden has a length of 7 meters and a total area of 583 square meters. Find the width.

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83 meters.

Explanation

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

 

Area = length × width

 

583 = 7 × width

 

To find the value of width, we need to shift 7 to the left side.

 

583/7 = width

 

Width = 83.

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Problem 3

There are 83 boxes and 583 toys. How many toys will be in each box?

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Each box will have 7 toys.

Explanation

To find the toys in each box, divide the total toys by the boxes.

 

583/83 = 7

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Problem 4

In a school, there are 583 students and 83 classrooms. How many students are there in each classroom?

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There are 7 students in each classroom.

Explanation

Dividing the students by the total classrooms, we will get the number of students in each classroom.

 

583/83 = 7

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Problem 5

583 books need to be arranged in 7 shelves. How many books will go on each shelf?

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Each of the shelves has 83 books.

Explanation

Divide total books by shelves.

 

583/7 = 83

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FAQs on Factors of 583

1.What are the factors of 583?

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2.Mention the prime factors of 583.

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3.Is 583 a multiple of 7?

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4.Mention the factor pairs of 583?

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5.What is the square of 583?

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6.How can children in India use numbers in everyday life to understand Factors of 583?

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7.What are some fun ways kids in India can practice Factors of 583 with numbers?

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8.What role do numbers and Factors of 583 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Factors of 583 skills?

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Important Glossaries for Factor of 583

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 583 are 1, 7, 83, and 583.

     
  • Prime factors: The factors which are prime numbers. For example, 7 and 83 are prime factors of 583.

     
  • 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 583 are (1, 583) and (7, 83).

     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 583 is 7 × 83.

     
  • Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 583 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into a fun part of every child’s math story!
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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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