119 LearnersLast updated on May 26th, 2025
Factors of 796
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 796, how they are used in real life, and tips to learn them quickly.
What are the Factors of 796?
The numbers that divide 796 evenly are known as factors of 796.
A factor of 796 is a number that divides the number without remainder.
The factors of 796 are 1, 2, 4, 199, 398, and 796.
Negative factors of 796: -1, -2, -4, -199, -398, and -796.
Prime factors of 796: 2 and 199.
Prime factorization of 796: 22 × 199.
The sum of factors of 796: 1 + 2 + 4 + 199 + 398 + 796 = 1400
How to Find Factors of 796?
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 796. Identifying the numbers which are multiplied to get the number 796 is the multiplication method.
Step 1: Multiply 796 by 1, 796 × 1 = 796.
Step 2: Check for other numbers that give 796 after multiplying
2 × 398 = 796
4 × 199 = 796
Therefore, the positive factor pairs of 796 are: (1, 796), (2, 398), and (4, 199).
All these factor pairs result in 796.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 796 by 1, 796 ÷ 1 = 796.
Step 2: Continue dividing 796 by the numbers until the remainder becomes 0.
796 ÷ 1 = 796
796 ÷ 2 = 398
796 ÷ 4 = 199
Therefore, the factors of 796 are: 1, 2, 4, 199, 398, 796.
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 796 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
796 ÷ 2 = 398
398 ÷ 2 = 199
199 ÷ 199 = 1
The prime factors of 796 are 2 and 199.
The prime factorization of 796 is: 2^2 × 199.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 796 is divided by 2 to get 398.
Step 2: Now divide 398 by 2 to get 199. Here, 199 is a prime number, that cannot be divided anymore. So, the prime factorization of 796 is: 22 × 199.
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 796: (1, 796), (2, 398), and (4, 199).
Negative factor pairs of 796: (-1, -796), (-2, -398), and (-4, -199).
Common Mistakes and How to Avoid Them in Factors of 796
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 796, 1 and 796 are also factors.
Mistake 2
Missing Negative Factors
We have usually mentioned only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 796 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 3.5 as a factor, because 796/3.5 ≈ 227.428, 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 796 are prime numbers.
For example, 2 and 199 are the prime factors of 796, but it has other factors like 4, 398.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 796 as 22 × 199 and missing all the key factors.
Factors of 796 Examples
Problem 1
There are 4 students and 796 pages in a book. How will they divide the pages equally?
They will get 199 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
796/4 = 199
Problem 2
A rectangular plot has a length of 199 meters and the total area is 796 square meters. Find the width?
4 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
796 = 199 × width
To find the value of width, we need to shift 199 to the left side.
796/199 = width
Width = 4.
Problem 3
There are 199 bags and 796 candies. How many candies will be in each bag?
Each bag will have 4 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
796/199 = 4
Problem 4
In a class, there are 796 students, and 398 groups. How many students are there in each group?
There are 2 students in each group.
Explanation
Dividing the students by the total number of groups, we will get the number of students in each group.
796/398 = 2
Problem 5
796 books need to be arranged in 398 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by shelves.
796/398 = 2
FAQs on Factors of 796
1.What are the factors of 796?
2.Mention the prime factors of 796.
3.Is 796 a multiple of 4?
4.Mention the factor pairs of 796?
5.What is the square of 796?
Important Glossaries for Factor of 796
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 796 are 1, 2, 4, 199, 398, and 796.
- Prime factors: The factors which are prime numbers. For example, 2 and 199 are prime factors of 796.
- 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 796 are (1, 796), (2, 398), etc.
- Prime Factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 796 is 22 × 199.
- Negative factors: Factors that are negative numbers, such as -1, -2, -4, -199, -398, and -796 for the number 796.
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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.
