BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 796

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

Factors of 796 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 796?

The numbers that divide 796 evenly are known as factors of 796.

 

A factor of 796 is a number that divides the number without remainder.

 

The factors of 796 are 1, 2, 4, 199, 398, and 796.

 

Negative factors of 796: -1, -2, -4, -199, -398, and -796.

 

Prime factors of 796: 2 and 199.

 

Prime factorization of 796: 22 × 199.

 

The sum of factors of 796: 1 + 2 + 4 + 199 + 398 + 796 = 1400

Professor Greenline from BrightChamps

How to Find Factors of 796?

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 796. Identifying the numbers which are multiplied to get the number 796 is the multiplication method.

 

Step 1: Multiply 796 by 1, 796 × 1 = 796.

 

Step 2: Check for other numbers that give 796 after multiplying

2 × 398 = 796

4 × 199 = 796

 

Therefore, the positive factor pairs of 796 are: (1, 796), (2, 398), and (4, 199).

 

All these factor pairs result in 796.

 

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

 

Step 1: Divide 796 by 1, 796 ÷ 1 = 796.

 

Step 2: Continue dividing 796 by the numbers until the remainder becomes 0.

796 ÷ 1 = 796

796 ÷ 2 = 398

796 ÷ 4 = 199

 

Therefore, the factors of 796 are: 1, 2, 4, 199, 398, 796.

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

796 ÷ 2 = 398

398 ÷ 2 = 199

199 ÷ 199 = 1

 

The prime factors of 796 are 2 and 199.

 

The prime factorization of 796 is: 2^2 × 199.

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, 796 is divided by 2 to get 398.

 

Step 2: Now divide 398 by 2 to get 199. Here, 199 is a prime number, that cannot be divided anymore. So, the prime factorization of 796 is: 22 × 199.

 

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 796: (1, 796), (2, 398), and (4, 199).

 

Negative factor pairs of 796: (-1, -796), (-2, -398), and (-4, -199).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 796

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 796, 1 and 796 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 796 Examples

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

Problem 1

There are 4 students and 796 pages in a book. How will they divide the pages equally?

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

They will get 199 pages each.

Explanation

To divide the pages equally, we need to divide the total pages by the number of students.

796/4 = 199

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

Problem 2

A rectangular plot has a length of 199 meters and the total area is 796 square meters. Find the width?

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

4 meters.

Explanation

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

796 = 199 × width

To find the value of width, we need to shift 199 to the left side.

796/199 = width

Width = 4.

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

Problem 3

There are 199 bags and 796 candies. How many candies will be in each bag?

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

Each bag will have 4 candies.

Explanation

To find the candies in each bag, divide the total candies by the number of bags.

796/199 = 4

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

Problem 4

In a class, there are 796 students, and 398 groups. How many students are there in each group?

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

There are 2 students in each group.

Explanation

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

796/398 = 2

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

Problem 5

796 books need to be arranged in 398 shelves. How many books will go on each shelf?

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

Each of the shelves has 2 books.

Explanation

Divide total books by shelves.

796/398 = 2

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

FAQs on Factors of 796

1.What are the factors of 796?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 796.

Math FAQ Answers Dropdown Arrow

3.Is 796 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 796?

Math FAQ Answers Dropdown Arrow

5.What is the square of 796?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 796?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 796 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 796 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 796 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 796

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 796 are 1, 2, 4, 199, 398, and 796.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 199 are prime factors of 796.

 

  • 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 796 are (1, 796), (2, 398), etc.

 

  • Prime Factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 796 is 22 × 199.

 

  • Negative factors: Factors that are negative numbers, such as -1, -2, -4, -199, -398, and -796 for the number 796.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 796 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
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