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Last updated on May 26th, 2025

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Factors of 587

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Factors are the numbers that divide any given number evenly without a 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 587, how they are used in real life, and tips to learn them quickly.

Factors of 587 for Canadian Students
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What are the Factors of 587?

The numbers that divide 587 evenly are known as factors of 587.

 

A factor of 587 is a number that divides the number without remainder.

 

The factors of 587 are 1, 587.

 

Negative factors of 587: -1, -587.

 

Prime factors of 587: 587 (since 587 is a prime number itself).

 

Prime factorization of 587: 587.

 

The sum of factors of 587: 1 + 587 = 588

factors of 587

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How to Find Factors of 587?

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 587. Identifying the numbers which are multiplied to get the number 587 is the multiplication method.

 

Step 1: Multiply 587 by 1, 587 × 1 = 587.

 

Since 587 is a prime number, there are no other multiplication pairs.

 

Therefore, the positive factor pairs of 587 are: (1, 587). For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with 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 587 by 1, 587 ÷ 1 = 587.

 

Step 2: Since 587 is a prime number, it cannot be divided by any other number except itself.

 

Therefore, the factors of 587 are: 1, 587.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a prime number. 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 587 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

Since 587 is a prime number, it cannot be factored further. The prime factorization of 587 is: 587.

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Factor Tree

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

 

In the case of 587: Since 587 is a prime number, the factor tree consists of just the number itself. So, the prime factorization of 587 is: 587.

 

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 587: (1, 587).

 

Negative factor pairs of 587: (-1, -587).

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Common Mistakes and How to Avoid Them in Factors of 587

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 587, 1 and 587 are also factors.

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Factors of 587 Examples

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Problem 1

A team has 1 coach and 587 students. How will the coach equally distribute motivation notes to each student?

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Each student will receive 1 motivation note.

Explanation

To distribute the motivation notes equally, divide the total notes by the number of students.

 

587/587 = 1

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Problem 2

A concert hall has a seating capacity of 587 people. How many people can sit per row if there is only one row?

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587 people.

Explanation

The total number of people that can sit per row is equal to the total seating capacity since there is only one row.

 

587/1 = 587

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Problem 3

A library has 1 shelf, and it can hold 587 books. How many books will be on the shelf?

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There will be 587 books on the shelf.

Explanation

To find the number of books on the shelf, divide the total number of books by the number of shelves.

 

587/1 = 587

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Problem 4

A bus has 1 driver and 587 passengers. How many passengers are there for each driver?

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There are 587 passengers for each driver.

Explanation

Dividing the passengers by the number of drivers gives us the number of passengers per driver.

 

587/1 = 587

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Problem 5

A marathon has 587 participants. How many medals are needed if each participant receives one medal?

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587 medals are needed.

Explanation

The number of medals needed is equal to the number of participants.

 

587 × 1 = 587

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FAQs on Factors of 587

1.What are the factors of 587?

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2.Mention the prime factors of 587.

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3.Is 587 a prime number?

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4.Mention the factor pairs of 587?

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5.What is a prime number?

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6.How can children in Canada use numbers in everyday life to understand Factors of 587?

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7.What are some fun ways kids in Canada can practice Factors of 587 with numbers?

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8.What role do numbers and Factors of 587 play in helping children in Canada develop problem-solving skills?

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9.How can families in Canada create number-rich environments to improve Factors of 587 skills?

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Important Glossaries for Factor of 587

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 587 are 1 and 587.

     
  • Prime factors: The factors which are prime numbers. For example, 587 is a prime factor of itself.

     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 587 is (1, 587).

     
  • Prime number: A natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. For example, 587 is a prime number.

     
  • Divisibility: The ability of one number to be divided by another without a remainder. For example, 587 is divisible by 1 and 587.
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About BrightChamps in Canada

At BrightChamps, numbers are more than just symbols—they’re keys to many possibilities! We aim to help kids across Canada develop important math skills, with today’s focus on Factors of 587, highlighting factors in a lively, fun, and accessible way. Whether your child is calculating the speed of a ride at Canada’s Wonderland, keeping track of hockey scores, or budgeting their allowance to buy gadgets, mastering numbers boosts their everyday confidence. Our engaging lessons make learning both fun and easy. Since kids in Canada learn differently, we adapt our teaching to each child’s style. From Toronto’s bustling streets to British Columbia’s scenic views, BrightChamps brings math to life across Canada. Let’s make factors a fun part of every child’s learning experience!
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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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