Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 584, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 584 evenly are known as factors of 584.
A factor of 584 is a number that divides the number without remainder.
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584.
Negative factors of 584: -1, -2, -4, -8, -73, -146, -292, and -584.
Prime factors of 584: 2 and 73.
Prime factorization of 584: 23 × 73.
The sum of factors of 584: 1 + 2 + 4 + 8 + 73 + 146 + 292 + 584 = 1110
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 584. Identifying the numbers which are multiplied to get the number 584 is the multiplication method.
Step 1: Multiply 584 by 1, 584 × 1 = 584.
Step 2: Check for other numbers that give 584 after multiplying:
2 × 292 = 584
4 × 146 = 584
8 × 73 = 584
Therefore, the positive factor pairs of 584 are: (1, 584), (2, 292), (4, 146), (8, 73). All these factor pairs result in 584. For every positive factor, there is a negative factor.
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 a simple division method -
Step 1: Divide 584 by 1, 584 ÷ 1 = 584.
Step 2: Continue dividing 584 by the numbers until the remainder becomes 0.
584 ÷ 1 = 584
584 ÷ 2 = 292
584 ÷ 4 = 146
584 ÷ 8 = 73
Therefore, the factors of 584 are: 1, 2, 4, 8, 73, 146, 292, 584.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 584 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
584 ÷ 2 = 292
292 ÷ 2 = 146
146 ÷ 2 = 73
73 ÷ 73 = 1
The prime factors of 584 are 2 and 73.
The prime factorization of 584 is: 23 × 73.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 584 is divided by 2 to get 292.
Step 2: Now divide 292 by 2 to get 146.
Step 3: Then divide 146 by 2 to get 73.
Here, 73 is a prime number, that cannot be divided anymore.
So, the prime factorization of 584 is: 23 × 73.
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 584: (1, 584), (2, 292), (4, 146), and (8, 73).
Negative factor pairs of 584: (-1, -584), (-2, -292), (-4, -146), and (-8, -73).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 584 marbles and 8 boxes. How will they distribute them equally?
Each box will contain 73 marbles.
To distribute the marbles equally, divide the total marbles by the number of boxes.
584/8 = 73
A construction site has a rectangular plot with a length of 146 meters and a total area of 584 square meters. Find the width.
4 meters.
To find the width of the plot, use the formula,
Area = length × width
584 = 146 × width
To find the value of width, divide 584 by 146.
584/146 = width
Width = 4.
There are 292 students and 2 buses. How many students will be in each bus?
Each bus will have 146 students.
To find the students in each bus, divide the total students by the number of buses.
292/2 = 146
In a library, there are 584 books and 73 shelves. How many books are there on each shelf?
There are 8 books on each shelf.
Dividing the total books by the number of shelves gives the number of books on each shelf.
584/73 = 8
A company produces 584 units of a product, and they want to pack them in boxes of 4. How many boxes will they need?
They will need 146 boxes.
Divide the total number of units by the units per box.
584/4 = 146
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.