122 LearnersLast updated on May 26th, 2025
Factors of 587
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.
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
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
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.
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.
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.
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).
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
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 587 consist of -1 and -587.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor because 587/2.5 = 234.8, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, assuming all the factors of 587 are prime numbers. However, 587 itself is a prime factor, but factors also include 1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, assuming 587 has other factors besides 1 and 587 due to incorrect factorization.
Factors of 587 Examples
Problem 1
A team has 1 coach and 587 students. How will the coach equally distribute motivation notes to each student?
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
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?
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
Problem 3
A library has 1 shelf, and it can hold 587 books. How many books will be on the shelf?
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
Problem 4
A bus has 1 driver and 587 passengers. How many passengers are there for each driver?
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
Problem 5
A marathon has 587 participants. How many medals are needed if each participant receives one medal?
587 medals are needed.
Explanation
The number of medals needed is equal to the number of participants.
587 × 1 = 587
FAQs on Factors of 587
1.What are the factors of 587?
2.Mention the prime factors of 587.
3.Is 587 a prime number?
4.Mention the factor pairs of 587?
5.What is a prime number?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 587?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 587 with numbers?
8.What role do numbers and Factors of 587 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 587 skills?
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 United Arab Emirates
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.
Fun Fact
: She loves to read number jokes and games.
