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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 996

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

Factors of 996 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 996?

The numbers that divide 996 evenly are known as factors of 996.

 

A factor of 996 is a number that divides the number without remainder.

 

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996.

 

Negative factors of 996: -1, -2, -3, -4, -6, -12, -83, -166, -249, -332, -498, and -996.

 

Prime factors of 996: 2, 3, and 83.

 

Prime factorization of 996: 22 × 3 × 83.

 

The sum of factors of 996: 1 + 2 + 3 + 4 + 6 + 12 + 83 + 166 + 249 + 332 + 498 + 996 = 2352

Professor Greenline from BrightChamps

How to Find Factors of 996?

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 996. Identifying the numbers which are multiplied to get the number 996 is the multiplication method.

 

Step 1: Multiply 996 by 1, 996 × 1 = 996.

 

Step 2: Check for other numbers that give 996 after multiplying

 

2 × 498 = 996

3 × 332 = 996

4 × 249 = 996

6 × 166 = 996

12 × 83 = 996

 

Therefore, the positive factor pairs of 996 are: (1, 996), (2, 498), (3, 332), (4, 249), (6, 166), (12, 83).

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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 996 by 1, 996 ÷ 1 = 996.

 

Step 2: Continue dividing 996 by the numbers until the remainder becomes 0.

 

996 ÷ 1 = 996

996 ÷ 2 = 498

996 ÷ 3 = 332

996 ÷ 4 = 249

996 ÷ 6 = 166

996 ÷ 12 = 83

 

Therefore, the factors of 996 are: 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996.

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

 

996 ÷ 2 = 498

498 ÷ 2 = 249

249 ÷ 3 = 83

83 ÷ 83 = 1

 

The prime factors of 996 are 2, 3, and 83.

 

The prime factorization of 996 is: 22 × 3 × 83.

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, 996 is divided by 2 to get 498.

 

Step 2: Now divide 498 by 2 to get 249.

 

Step 3: Then divide 249 by 3 to get 83. Here, 83 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 996 is: 22 × 3 × 83.

 

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 996: (1, 996), (2, 498), (3, 332), (4, 249), (6, 166), (12, 83).

 

Negative factor pairs of 996: (-1, -996), (-2, -498), (-3, -332), (-4, -249), (-6, -166), (-12, -83).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 996

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 996, 1 and 996 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 996 Examples

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

Problem 1

There are 12 friends and 996 candies. How will they divide it equally?

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

They will get 83 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of friends.

 

996/12 = 83

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

Problem 2

A rectangular garden has a length of 83 meters and a total area of 996 square meters. What is the width?

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

12 meters.

Explanation

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

 

Area = length × width

 

996 = 83 × width

 

To find the value of width, we need to shift 83 to the left side.

 

996/83 = width

 

Width = 12.

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

Problem 3

There are 249 boxes and 996 toys. How many toys will be in each box?

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

Each box will have 4 toys.

Explanation

To find the toys in each box, divide the total toys by the number of boxes.

 

996/249 = 4

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

Problem 4

In a school, there are 996 students and 3 buses. How many students are there in each bus?

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

There are 332 students in each bus.

Explanation

Dividing the students by the total buses, we will get the number of students in each bus.

 

996/3 = 332

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

Problem 5

996 books need to be arranged in 6 shelves. How many books will go on each shelf?

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

Each of the shelves has 166 books.

Explanation

Divide total books by shelves.

 

996/6 = 166

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

FAQs on Factors of 996

1.What are the factors of 996?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 996.

Math FAQ Answers Dropdown Arrow

3.Is 996 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 996?

Math FAQ Answers Dropdown Arrow

5.What is the square of 996?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 996

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, and 996.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 83 are prime factors of 996.
     
  • 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 996 are (1, 996), (2, 498), etc.
     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 996 is 22 × 3 × 83.
     
  • Negative factors: Factors that are negative numbers. For example, -1, -2, -3, -4, -6, -12, -83, -166, -249, -332, -498, and -996 are the negative factors of 996.
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