100 LearnersLast updated on May 26th, 2025
Factors of 594
Factors are the numbers that divide any given number evenly without 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 594, how they are used in real life, and tips to learn them quickly.
What are the Factors of 594?
The numbers that divide 594 evenly are known as factors of 594.
A factor of 594 is a number that divides the number without remainder.
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, and 594.
Negative factors of 594: -1, -2, -3, -6, -9, -11, -18, -22, -27, -33, -54, -66, -99, -198, -297, and -594.
Prime factors of 594: 2, 3, and 11.
Prime factorization of 594: 2 × 3³ × 11.
The sum of factors of 594: 1 + 2 + 3 + 6 + 9 + 11 + 18 + 22 + 27 + 33 + 54 + 66 + 99 + 198 + 297 + 594 = 1440
How to Find Factors of 594?
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 594. Identifying the numbers which are multiplied to get the number 594 is the multiplication method.
Step 1: Multiply 594 by 1, 594 × 1 = 594.
Step 2: Check for other numbers that give 594 after multiplying
2 × 297 = 594
3 × 198 = 594
6 × 99 = 594
9 × 66 = 594
11 × 54 = 594
18 × 33 = 594
27 × 22 = 594
Therefore, the positive factor pairs of 594 are: (1, 594), (2, 297), (3, 198), (6, 99), (9, 66), (11, 54), (18, 33), (22, 27). 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 594 by 1, 594 ÷ 1 = 594.
Step 2: Continue dividing 594 by the numbers until the remainder becomes 0.
594 ÷ 1 = 594
594 ÷ 2 = 297
594 ÷ 3 = 198
594 ÷ 6 = 99
594 ÷ 9 = 66
594 ÷ 11 = 54
594 ÷ 18 = 33
594 ÷ 22 = 27
Therefore, the factors of 594 are: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594.
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 594 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
594 ÷ 2 = 297
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 594 are 2, 3, and 11.
The prime factorization of 594 is: 2 × 3³ × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 594 is divided by 2 to get 297.
Step 2: Now divide 297 by 3 to get 99.
Step 3: Then divide 99 by 3 to get 33.
Step 4: Divide 33 by 3 to get 11. Step 5: Divide 11 by 11 to get 1.
Here, 11 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 594 is: 2 × 3³ × 11.
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 594: (1, 594), (2, 297), (3, 198), (6, 99), (9, 66), (11, 54), (18, 33), (22, 27).
Negative factor pairs of 594: (-1, -594), (-2, -297), (-3, -198), (-6, -99), (-9, -66), (-11, -54), (-18, -33), (-22, -27).
Common Mistakes and How to Avoid Them in Factors of 594
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 594, 1 and 594 are also factors.
Factors of 594 Examples
Problem 1
There are 6 teams and 594 points. How will they divide the points equally among the teams?
Each team will get 99 points.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
594/6 = 99
Problem 2
A rectangular garden has a length of 18 meters and a total area of 594 square meters. Find the width.
33 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
594 = 18 × width
To find the value of width, we need to shift 18 to the left side.
594/18 = width
Width = 33.
Problem 3
There are 22 baskets and 594 apples. How many apples will be in each basket?
Each basket will have 27 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
594/22 = 27
Problem 4
In a concert, there are 11 sections, and 594 attendees. How many attendees are there in each section?
There are 54 attendees in each section.
Explanation
Dividing the attendees with the total sections, we will get the number of attendees in each section.
594/11 = 54
Problem 5
594 books need to be distributed across 3 libraries. How many books will each library receive?
Each library will receive 198 books.
Explanation
Divide total books with libraries.
594/3 = 198
FAQs on Factors of 594
1.What are the factors of 594?
2.Mention the prime factors of 594.
3.Is 594 a multiple of 9?
4.Mention the factor pairs of 594?
5.What is the square of 594?
Important Glossaries for Factors of 594
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, and 594.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 594.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 594 is 2 × 3³ × 11.
- 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 594 are (1, 594), (2, 297), etc.
- Multiplication method: A method to find factors by determining pairs of numbers that multiply to the given number.
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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.
Fun Fact
: She loves to read number jokes and games.
