119 LearnersLast updated on May 26th, 2025
Factors of 996
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
- Finding factors using division method
- Prime factors and prime factorization
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.
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
- 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.
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.
Mistake 1
Forgetting the number itself and 1 is a factor
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.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 996 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 996/1.5 = 664, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 996 are prime numbers.
For example, 2, 3, and 83 are the prime factors of 996, but it has other factors like 4, 166.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 996 as 22 × 3 × 83 and missing all the key factors.
Factors of 996 Examples
Problem 1
There are 12 friends and 996 candies. How will they divide it equally?
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
Problem 2
A rectangular garden has a length of 83 meters and a total area of 996 square meters. What is the width?
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.
Problem 3
There are 249 boxes and 996 toys. How many toys will be in each box?
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
Problem 4
In a school, there are 996 students and 3 buses. How many students are there in each bus?
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
Problem 5
996 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 166 books.
Explanation
Divide total books by shelves.
996/6 = 166
FAQs on Factors of 996
1.What are the factors of 996?
2.Mention the prime factors of 996.
3.Is 996 a multiple of 4?
4.Mention 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.
