Last updated on May 26th, 2025
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.
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
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 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.
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.
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 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.
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).
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 794 trees and 2 gardeners. How will they divide the trees equally for maintenance?
Each gardener will maintain 397 trees.
To divide the trees equally, we need to divide the total trees by the number of gardeners.
794/2 = 397
A ribbon is 794 centimeters long and is cut into 2 equal pieces. How long is each piece?
Each piece is 397 centimeters long.
To find the length of each piece, divide the total length by the number of pieces.
794/2 = 397
A company has 794 employees and wants to form teams of 2. How many teams can be formed?
397 teams can be formed.
To find the number of teams, divide the total number of employees by the number of people per team.
794/2 = 397
A farm is rectangular, with a width of 2 meters and a total area of 794 square meters. Find the length.
397 meters.
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.
794 seeds need to be arranged in 2 containers. How many seeds will go in each container?
Each container will have 397 seeds.
Divide the total seeds by the containers.
794/2 = 397
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.