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Last updated on May 26th, 2025

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Factors of 804

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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 804, how they are used in real life, and tips to learn them quickly.

Factors of 804 for Australian Students
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What are the Factors of 804?

The numbers that divide 804 evenly are known as factors of 804.

 

A factor of 804 is a number that divides the number without remainder.

 

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, and 804.

 

Negative factors of 804: -1, -2, -3, -4, -6, -12, -67, -134, -201, -268, -402, and -804.

 

Prime factors of 804: 2, 3, and 67.

 

Prime factorization of 804: 22 × 3 × 67.

 

The sum of factors of 804: 1 + 2 + 3 + 4 + 6 + 12 + 67 + 134 + 201 + 268 + 402 + 804 = 1904

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How to Find Factors of 804?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 804. Identifying the numbers which are multiplied to get the number 804 is the multiplication method.

 

Step 1: Multiply 804 by 1, 804 × 1 = 804.

 

Step 2: Check for other numbers that give 804 after multiplying

2 × 402 = 804

3 × 268 = 804

4 × 201 = 804

6 × 134 = 804

12 × 67 = 804

 

Therefore, the positive factor pairs of 804 are: (1, 804), (2, 402), (3, 268), (4, 201), (6, 134), (12, 67).

 

For every positive factor, there is a negative factor.

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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 in whole numbers as factors. Factors can be calculated by following a simple division method

 

Step 1: Divide 804 by 1, 804 ÷ 1 = 804.

 

Step 2: Continue dividing 804 by the numbers until the remainder becomes 0.

804 ÷ 1 = 804

804 ÷ 2 = 402

804 ÷ 3 = 268

804 ÷ 4 = 201

804 ÷ 6 = 134

804 ÷ 12 = 67

 

Therefore, the factors of 804 are: 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804.

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Prime Factors and Prime Factorization

The factors can be found by dividing them 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 804 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

804 ÷ 2 = 402

402 ÷ 2 = 201

201 ÷ 3 = 67

67 ÷ 67 = 1

 

The prime factors of 804 are 2, 3, and 67.

 

The prime factorization of 804 is: 22 × 3 × 67.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

 

Step 1: Firstly, 804 is divided by 2 to get 402.

 

Step 2: Now divide 402 by 2 to get 201.

 

Step 3: Then divide 201 by 3 to get 67. 67 is a prime number that cannot be divided further. So, the prime factorization of 804 is: 2^2 × 3 × 67.

 

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 804: (1, 804), (2, 402), (3, 268), (4, 201), (6, 134), and (12, 67).

 

Negative factor pairs of 804: (-1, -804), (-2, -402), (-3, -268), (-4, -201), (-6, -134), and (-12, -67).

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Common Mistakes and How to Avoid Them in Factors of 804

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

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Forgetting the number itself and 1 is a factor

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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 804, 1 and 804 are also factors.

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Factors of 804 Examples

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Problem 1

A baker has 804 cupcakes and needs to pack them into boxes of 12. How many boxes are needed?

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67 boxes are needed.

Explanation

To find the number of boxes, we divide the total cupcakes by the number of cupcakes per box.

804/12 = 67

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Problem 2

A rectangular garden has an area of 804 square meters and a width of 4 meters. What is the garden's length?

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201 meters.

Explanation

To find the length of the garden, we use the formula: Area = length × width

804 = length × 4

To find the value of length, we divide by the width.

804/4 = length

Length = 201 meters.

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Problem 3

There are 134 chairs and 804 tables. How many tables will each chair have?

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Each chair will have 6 tables.

Explanation

To find the tables per chair, divide the total tables by the number of chairs.

804/134 = 6

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Problem 4

A library has 804 books and 6 shelves. How many books will go on each shelf?

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Each shelf will have 134 books.

Explanation

Divide the total books by the number of shelves to find the number of books on each shelf.

804/6 = 134

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Problem 5

A factory produces 402 gadgets every day. If they work for 2 days, how many gadgets will they produce?

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They will produce 804 gadgets.

Explanation

Multiply the daily production by the number of days to find the total production.

402 × 2 = 804

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FAQs on Factors of 804

1.What are the factors of 804?

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2.Mention the prime factors of 804.

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3.Is 804 a multiple of 3?

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4.Mention the factor pairs of 804?

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5.What is the square of 804?

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6.How can children in Australia use numbers in everyday life to understand Factors of 804?

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7.What are some fun ways kids in Australia can practice Factors of 804 with numbers?

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8.What role do numbers and Factors of 804 play in helping children in Australia develop problem-solving skills?

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9.How can families in Australia create number-rich environments to improve Factors of 804 skills?

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Important Glossaries for Factor of 804

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, and 804.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 67 are prime factors of 804.

 

  • 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 804 are (1, 804), (2, 402), etc.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 804 is 22 × 3 × 67.

 

  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 804 is a multiple of 3.
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About BrightChamps in Australia

At BrightChamps, numbers mean more than just digits—they open doors to a world of possibilities! We’re here to help children across Australia grasp essential math skills, focusing today on Factors of 804 with a special emphasis on factors—in a way that’s fun, engaging, and easy to follow. Whether your child is figuring out the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance to buy gadgets, understanding numbers builds everyday confidence. Our hands-on lessons make learning enjoyable and straightforward. Since kids in Australia learn differently, we customize lessons to suit each child’s style. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life throughout Australia. Let’s make factors an exciting part of every child’s math journey!
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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.

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Fun Fact

: She loves to read number jokes and games.

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