BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 704

Professor Greenline Explaining Math Concepts

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

Factors of 704 for Indonesian Students
Professor Greenline from BrightChamps

What are the Factors of 704?

The numbers that divide 704 evenly are known as factors of 704.

 

A factor of 704 is a number that divides the number without remainder.

 

The factors of 704 are 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, and 704.

 

Negative factors of 704: -1, -2, -4, -8, -16, -32, -44, -88, -176, -352, and -704.

 

Prime factors of 704: 2 and 11.

 

Prime factorization of 704: 26 × 11.

 

The sum of factors of 704: 1 + 2 + 4 + 8 + 16 + 32 + 44 + 88 + 176 + 352 + 704 = 1427

factors of 704

Professor Greenline from BrightChamps

How to Find Factors of 704?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 704. Identifying the numbers which are multiplied to get the number 704 is the multiplication method.

 

Step 1: Multiply 704 by 1, 704 × 1 = 704.

 

Step 2: Check for other numbers that give 704 after multiplying

 

2 × 352 = 704

4 × 176 = 704

8 × 88 = 704

16 × 44 = 704

 

Therefore, the positive factor pairs of 704 are: (1, 704), (2, 352), (4, 176), (8, 88), (16, 44).

 

All these factor pairs result in 704.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method

 

Step 1: Divide 704 by 1, 704 ÷ 1 = 704.

 

Step 2: Continue dividing 704 by the numbers until the remainder becomes 0.

 

704 ÷ 1 = 704

704 ÷ 2 = 352

704 ÷ 4 = 176

704 ÷ 8 = 88

704 ÷ 16 = 44

 

Therefore, the factors of 704 are: 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, 704.

Professor Greenline from BrightChamps

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 704 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

704 ÷ 2 = 352

352 ÷ 2 = 176

176 ÷ 2 = 88

88 ÷ 2 = 44

44 ÷ 2 = 22

22 ÷ 2 = 11

11 ÷ 11 = 1

 

The prime factors of 704 are 2 and 11.

 

The prime factorization of 704 is: 2^6 × 11.

Professor Greenline from BrightChamps

Factor Tree

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

 

Step 1: Firstly, 704 is divided by 2 to get 352.

 

Step 2: Now divide 352 by 2 to get 176.

 

Step 3: Then divide 176 by 2 to get 88.

 

Step 4: Divide 88 by 2 to get 44.

 

Step 5: Divide 44 by 2 to get 22.

 

Step 6: Divide 22 by 2 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 704 is: 26 × 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 704: (1, 704), (2, 352), (4, 176), (8, 88), and (16, 44).

 

Negative factor pairs of 704: (-1, -704), (-2, -352), (-4, -176), (-8, -88), and (-16, -44).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 704

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

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 704, 1 and 704 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 704 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

There are 8 friends and 704 stickers. How will they divide it equally?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

They will get 88 stickers each.

Explanation

To divide the stickers equally, we need to divide the total stickers with the number of friends.

 

704/8 = 88

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A rectangular plot has a length of 44 meters and a total area of 704 square meters. Find the width?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

16 meters.

Explanation

To find the width of the plot, we use the formula,

 

Area = length × width

 

704 = 44 × width

 

To find the value of width, we need to shift 44 to the left side.

 

704/44 = width

 

Width = 16.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

There are 16 baskets and 704 apples. How many apples will be in each basket?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each basket will have 44 apples.

Explanation

To find the apples in each basket, divide the total apples with the baskets.

 

704/16 = 44

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

In a classroom, there are 704 students, and 11 groups. How many students are there in each group?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 64 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group.

 

704/11 = 64

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

704 books need to be arranged in 8 shelves. How many books will go on each shelf?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each of the shelves has 88 books.

Explanation

Divide total books with shelves.

 

704/8 = 88

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 704

1.What are the factors of 704?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 704.

Math FAQ Answers Dropdown Arrow

3.Is 704 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 704?

Math FAQ Answers Dropdown Arrow

5.What is the square of 704?

Math FAQ Answers Dropdown Arrow

6.How can children in Indonesia use numbers in everyday life to understand Factors of 704?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Indonesia can practice Factors of 704 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 704 play in helping children in Indonesia develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Indonesia create number-rich environments to improve Factors of 704 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 704

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 704 are 1, 2, 4, 8, 16, 32, 44, 88, 176, 352, and 704.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of 704.
     
  • 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 704 are (1, 704), (2, 352), etc.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 704 is 26 × 11.
     
  • Negative factors: Factors of a number that are negative. For example, -1, -2, -4 are negative factors of 704.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, numbers are more than just digits—they’re gateways to many opportunities! We strive to help children across Indonesia master vital math skills, focusing today on Factors of 704 with special attention to factors—in a fun, clear, and engaging way. Whether your child is calculating the speed of a ride at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for gadgets, solid number skills give them confidence in daily life. Our hands-on lessons make learning both fun and straightforward. Since kids in Indonesia learn in varied ways, we adapt our teaching to each child’s needs. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life throughout Indonesia. Let’s make factors an enjoyable part of every child’s math adventure!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom