Factors of 996
2026-02-28 13:46 Diff
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Last updated on December 12, 2025

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.

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

How to Find Factors of 996?

Factors can be found using different methods. Mentioned below are some commonly used methods:

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.

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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 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.

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: 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.

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).

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.

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Problem 1

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

Okay, lets 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

Well explained 👍

Problem 2

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

Okay, lets 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.

Well explained 👍

Problem 3

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

Okay, lets 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

Well explained 👍

Problem 4

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

Okay, lets 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

Well explained 👍

Problem 5

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

Okay, lets begin

Each of the shelves has 166 books.

Explanation

Divide total books by shelves.

996/6 = 166

Well explained 👍

FAQs on Factors of 996

1.What are the factors of 996?

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

2.Mention the prime factors of 996.

The prime factors of 996 are 2\(^2\) × 3 × 83.

3.Is 996 a multiple of 4?

4.Mention the factor pairs of 996?

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

5.What is the square of 996?

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.

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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.