100 LearnersLast updated on May 26th, 2025
Factors of 854
Factors are the numbers that divide a given number evenly without leaving a remainder. In daily life, we use factors for tasks like sharing items equally and arranging things. In this topic, we will learn about the factors of 854, how they are used in real life, and tips to learn them quickly.
What are the Factors of 854?
The numbers that divide 854 evenly are known as factors of 854.
A factor of 854 is a number that divides the number without a remainder.
The factors of 854 are 1, 2, 427, and 854.
Negative factors of 854: -1, -2, -427, and -854.
Prime factors of 854: 2 and 427.
Prime factorization of 854: 2 × 427.
The sum of factors of 854: 1 + 2 + 427 + 854 = 1284
How to Find Factors of 854?
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 854. Identifying the numbers which are multiplied to get the number 854 is the multiplication method.
Step 1: Multiply 854 by 1, 854 × 1 = 854.
Step 2: Check for other numbers that give 854 after multiplying
2 × 427 = 854
Therefore, the positive factor pairs of 854 are: (1, 854) and (2, 427).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated using a simple division method
Step 1: Divide 854 by 1, 854 ÷ 1 = 854.
Step 2: Continue dividing 854 by the numbers until the remainder becomes 0.
854 ÷ 1 = 854
854 ÷ 2 = 427
Therefore, the factors of 854 are: 1, 2, 427, 854.
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 854 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
854 ÷ 2 = 427
427 ÷ 427 = 1
The prime factors of 854 are 2 and 427.
The prime factorization of 854 is: 2 × 427.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 854 is divided by 2 to get 427.
Step 2: 427 is a prime number, so it cannot be divided further. So, the prime factorization of 854 is: 2 × 427.
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 854: (1, 854) and (2, 427).
Negative factor pairs of 854: (-1, -854) and (-2, -427).
Common Mistakes and How to Avoid Them in Factors of 854
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 854, 1 and 854 are also factors.
Factors of 854 Examples
Problem 1
There are 2 teams and 854 candies. How will they divide it equally?
They will get 427 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
854/2 = 427
Problem 2
A rectangular field has a width of 2 meters and a total area of 854 square meters. Find the length.
427 meters.
Explanation
To find the length of the field, we use the formula, Area = length × width
854 = length × 2
To find the value of the length, we need to shift 2 to the left side.
854/2 = length
Length = 427.
Problem 3
There are 427 bags and 854 cookies. How many cookies will be in each bag?
Each bag will have 2 cookies.
Explanation
To find the cookies in each bag, divide the total cookies by the number of bags.
854/427 = 2
Problem 4
In a class, there are 854 students, divided into 2 groups. How many students are there in each group?
There are 427 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
854/2 = 427
Problem 5
854 books need to be arranged in 427 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by shelves.
854/427 = 2
FAQs on Factors of 854
1.What are the factors of 854?
2.Mention the prime factors of 854.
3.Is 854 a multiple of 2?
4.Mention the factor pairs of 854?
5.What is the square of 854?
Important Glossaries for Factors of 854
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 854 are 1, 2, 427, and 854.
- Prime factors: The factors which are prime numbers. For example, 2 and 427 are prime factors of 854.
- 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 854 are (1, 854) and (2, 427).
- Prime factorization: Breaking down a number into its prime factors. The prime factorization of 854 is 2 × 427.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 854 is a multiple of 2.
Explore More numbers
Previous to Factors of 854
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.
