125 LearnersLast updated on May 26th, 2025
Factors of 584
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.
What are the Factors of 584?
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
How to Find Factors of 584?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 584
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 584, 1 and 584 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 584 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 584/1.5 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, thinking all the factors of 584 are prime numbers.
For example, 2 and 73 are the prime factors of 584, but it has other factors like 4, 146.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 584 as 2^3 × 73 and missing key factors.
Factors of 584 Examples
Problem 1
There are 584 marbles and 8 boxes. How will they distribute them equally?
Each box will contain 73 marbles.
Explanation
To distribute the marbles equally, divide the total marbles by the number of boxes.
584/8 = 73
Problem 2
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.
Explanation
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.
Problem 3
There are 292 students and 2 buses. How many students will be in each bus?
Each bus will have 146 students.
Explanation
To find the students in each bus, divide the total students by the number of buses.
292/2 = 146
Problem 4
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.
Explanation
Dividing the total books by the number of shelves gives the number of books on each shelf.
584/73 = 8
Problem 5
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.
Explanation
Divide the total number of units by the units per box.
584/4 = 146
FAQs on Factors of 584
1.What are the factors of 584?
2.Mention the prime factors of 584.
3.Is 584 a multiple of 4?
4.Mention the factor pairs of 584.
5.What is the cube of 584?
6.How can children in Canada use numbers in everyday life to understand Factors of 584?
7.What are some fun ways kids in Canada can practice Factors of 584 with numbers?
8.What role do numbers and Factors of 584 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 584 skills?
Important Glossaries for Factor of 584
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584.
- Prime factors: The factors which are prime numbers. For example, 2 and 73 are prime factors of 584.
- 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 584 are (1, 584), (2, 292), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 584 is 23 × 73.
- Multiple: A number that can be divided by another number without leaving a remainder. For instance, 584 is a multiple of 4.
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About BrightChamps in Canada
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.
