Last updated on May 26th, 2025
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.
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 can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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: 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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To distribute the motivation notes equally, divide the total notes by the number of students.
587/587 = 1
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.
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
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.
To find the number of books on the shelf, divide the total number of books by the number of shelves.
587/1 = 587
A bus has 1 driver and 587 passengers. How many passengers are there for each driver?
There are 587 passengers for each driver.
Dividing the passengers by the number of drivers gives us the number of passengers per driver.
587/1 = 587
A marathon has 587 participants. How many medals are needed if each participant receives one medal?
587 medals are needed.
The number of medals needed is equal to the number of participants.
587 × 1 = 587
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.
: She loves to read number jokes and games.