119 LearnersLast updated on May 26th, 2025
Factors of 794
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 794, how they are used in real life, and tips to learn them quickly.
What are the Factors of 794?
The numbers that divide 794 evenly are known as factors of 794.
A factor of 794 is a number that divides the number without a remainder.
The factors of 794 are 1, 2, 397, and 794.
Negative factors of 794: -1, -2, -397, and -794.
Prime factors of 794: 2 and 397.
Prime factorization of 794: 2 × 397.
The sum of factors of 794: 1 + 2 + 397 + 794 = 1194
How to Find Factors of 794?
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 794. Identifying the numbers which are multiplied to get the number 794 is the multiplication method.
Step 1: Multiply 794 by 1, 794 × 1 = 794.
Step 2: Check for other numbers that give 794 after multiplying
2 × 397 = 794
Therefore, the positive factor pairs of 794 are: (1, 794) and (2, 397). All these factor pairs result in 794.
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 794 by 1, 794 ÷ 1 = 794.
Step 2: Continue dividing 794 by the numbers until the remainder becomes 0.
794 ÷ 1 = 794
794 ÷ 2 = 397
Therefore, the factors of 794 are: 1, 2, 397, 794.
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 794 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
794 ÷ 2 = 397
397 ÷ 397 = 1
The prime factors of 794 are 2 and 397.
The prime factorization of 794 is: 2 × 397.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 794 is divided by 2 to get 397. Here, 397 is a prime number and cannot be divided further. So, the prime factorization of 794 is: 2 × 397.
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 794: (1, 794) and (2, 397).
Negative factor pairs of 794: (-1, -794) and (-2, -397).
Common Mistakes and How to Avoid Them in Factors of 794
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
People 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 794, 1 and 794 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 794 consist of -1, -2, -397, etc.
Mistake 3
Including the Fraction
People might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 794/1.5 = 529.33, 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 794 are prime numbers.
For example, 2 and 397 are the prime factors of 794, but it has other factors like 1 and 794.
Mistake 5
Mistake in Factorization
People might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 794 as 2 × 397 and missing all the key factors.
Factors of 794 Examples
Problem 1
There are 794 trees and 2 gardeners. How will they divide the trees equally for maintenance?
Each gardener will maintain 397 trees.
Explanation
To divide the trees equally, we need to divide the total trees by the number of gardeners.
794/2 = 397
Problem 2
A ribbon is 794 centimeters long and is cut into 2 equal pieces. How long is each piece?
Each piece is 397 centimeters long.
Explanation
To find the length of each piece, divide the total length by the number of pieces.
794/2 = 397
Problem 3
A company has 794 employees and wants to form teams of 2. How many teams can be formed?
397 teams can be formed.
Explanation
To find the number of teams, divide the total number of employees by the number of people per team.
794/2 = 397
Problem 4
A farm is rectangular, with a width of 2 meters and a total area of 794 square meters. Find the length.
397 meters.
Explanation
To find the length of the farm, use the formula, Area = length × width
794 = length × 2
To find the value of the length, divide the area by the width.
794/2 = length
Length = 397.
Problem 5
794 seeds need to be arranged in 2 containers. How many seeds will go in each container?
Each container will have 397 seeds.
Explanation
Divide the total seeds by the containers.
794/2 = 397
FAQs on Factors of 794
1.What are the factors of 794?
2.Mention the prime factors of 794.
3.Is 794 a multiple of 2?
4.Mention the factor pairs of 794?
5.What is the square of 794?
Important Glossaries for Factors of 794
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 794 are 1, 2, 397, and 794.
- Prime factors: The factors which are prime numbers. For example, 2 and 397 are prime factors of 794.
- 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 794 are (1, 794) and (2, 397).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 794 is 2 × 397.
- Multiple: A number that can be divided by another number without a remainder. For example, 794 is a multiple of 2.
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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.
