103 LearnersLast updated on May 26th, 2025
Factors of 1996
Factors are the numbers that divide any given number evenly without a 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 1996, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1996?
The numbers that divide 1996 evenly are known as factors of 1996.
A factor of 1996 is a number that divides the number without a remainder.
The factors of 1996 are 1, 2, 4, 499, 998, and 1996.
Negative factors of 1996: -1, -2, -4, -499, -998, and -1996.
Prime factors of 1996: 2 and 499.
Prime factorization of 1996: 22 × 499.
The sum of factors of 1996: 1 + 2 + 4 + 499 + 998 + 1996 = 3500
How to Find Factors of 1996?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1996. Identifying the numbers which are multiplied to get the number 1996 is the multiplication method.
Step 1: Multiply 1996 by 1, 1996 × 1 = 1996.
Step 2: Check for other numbers that give 1996 after multiplying
2 × 998 = 1996
4 × 499 = 1996
Therefore, the positive factor pairs of 1996 are: (1, 1996), (2, 998), (4, 499).
All these factor pairs result in 1996.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1996 by 1, 1996 ÷ 1 = 1996.
Step 2: Continue dividing 1996 by the numbers until the remainder becomes 0.
1996 ÷ 1 = 1996
1996 ÷ 2 = 998
1996 ÷ 4 = 499
Therefore, the factors of 1996 are: 1, 2, 4, 499, 998, 1996.
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 1996 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1996 ÷ 2 = 998
998 ÷ 2 = 499
499 ÷ 499 = 1
The prime factors of 1996 are 2 and 499.
The prime factorization of 1996 is: 22 × 499.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1996 is divided by 2 to get 998.
Step 2: Now divide 998 by 2 to get 499.
Step 3: 499 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1996 is: 22 × 499.
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 1996: (1, 1996), (2, 998), (4, 499).
Negative factor pairs of 1996: (-1, -1996), (-2, -998), (-4, -499).
Common Mistakes and How to Avoid Them in Factors of 1996
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 1996, 1 and 1996 are also factors.
Factors of 1996 Examples
Problem 1
A library has 1996 books and wants to arrange them in 4 equal stacks. How many books will each stack have?
Each stack will have 499 books.
Explanation
To divide the books equally, we need to divide the total books by the number of stacks.
1996/4 = 499
Problem 2
A large box contains 1996 candies and needs to be divided into 2 smaller boxes equally. How many candies will each box contain?
Each box will contain 998 candies.
Explanation
To find the number of candies in each box, divide the total candies by the number of boxes.
1996/2 = 998
Problem 3
A field is rectangular, the length of the field is 2 meters and the total area is 1996 square meters. Find the width?
998 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1996 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1996/2 = width
Width = 998.
Problem 4
There are 1996 apples and 499 baskets. How many apples will be in each basket?
Each basket will contain 4 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1996/499 = 4
Problem 5
A company needs to distribute 1996 flyers equally among 2 branches. How many flyers will each branch receive?
Each branch will receive 998 flyers.
Explanation
Divide the total flyers by the number of branches.
1996/2 = 998
FAQs on Factors of 1996
1.What are the factors of 1996?
2.Mention the prime factors of 1996.
3.Is 1996 a multiple of 4?
4.Mention the factor pairs of 1996?
5.What is the square of 1996?
6.How can children in Canada use numbers in everyday life to understand Factors of 1996?
7.What are some fun ways kids in Canada can practice Factors of 1996 with numbers?
8.What role do numbers and Factors of 1996 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1996 skills?
Important Glossaries for Factor of 1996
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1996 are 1, 2, 4, 499, 998, and 1996.
- Prime factors: The factors which are prime numbers. For example, 2 and 499 are prime factors of 1996.
- 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 1996 are (1, 1996), (2, 998), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1996 is 22 × 499.
- Perfect square: A number that is the square of an integer. For example, 1996 is not a perfect square.
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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.
