Last updated on May 26th, 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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 12 friends and 996 candies. How will they divide it equally?
They will get 83 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
996/12 = 83
A rectangular garden has a length of 83 meters and a total area of 996 square meters. What is the width?
12 meters.
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.
There are 249 boxes and 996 toys. How many toys will be in each box?
Each box will have 4 toys.
To find the toys in each box, divide the total toys by the number of boxes.
996/249 = 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.
Dividing the students by the total buses, we will get the number of students in each bus.
996/3 = 332
996 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 166 books.
Divide total books by shelves.
996/6 = 166
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.
: She loves to read number jokes and games.