101 LearnersLast updated on May 26th, 2025
Factors of 855
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 855, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 855?
The numbers that divide 855 evenly are known as factors of 855.
A factor of 855 is a number that divides the number without remainder.
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, and 855.
Negative factors of 855: -1, -3, -5, -9, -15, -19, -45, -57, -95, -171, -285, and -855.
Prime factors of 855: 3, 5, and 19.
Prime factorization of 855: 3 × 3 × 5 × 19.
The sum of factors of 855: 1 + 3 + 5 + 9 + 15 + 19 + 45 + 57 + 95 + 171 + 285 + 855 = 1560
How to Find Factors of 855?
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 855. Identifying the numbers which are multiplied to get the number 855 is the multiplication method.
Step 1: Multiply 855 by 1, 855 × 1 = 855.
Step 2: Check for other numbers that give 855 after multiplying
3 × 285 = 855
5 × 171 = 855
9 × 95 = 855
15 × 57 = 855
19 × 45 = 855
Therefore, the positive factor pairs of 855 are: (1, 855), (3, 285), (5, 171), (9, 95), (15, 57), and (19, 45).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which results as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 855 by 1, 855 ÷ 1 = 855.
Step 2: Continue dividing 855 by the numbers until the remainder becomes 0.
855 ÷ 1 = 855
855 ÷ 3 = 285
855 ÷ 5 = 171
855 ÷ 9 = 95
855 ÷ 15 = 57
855 ÷ 19 = 45
Therefore, the factors of 855 are: 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 855 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
855 ÷ 3 = 285
285 ÷ 3 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 855 are 3, 5, and 19.
The prime factorization of 855 is: 3 × 3 × 5 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 855 is divided by 3 to get 285.
Step 2: Now divide 285 by 3 to get 95.
Step 3: Then divide 95 by 5 to get 19. Here, 19 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 855 is: 3 × 3 × 5 × 19.
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 855: (1, 855), (3, 285), (5, 171), (9, 95), (15, 57), and (19, 45).
Negative factor pairs of 855: (-1, -855), (-3, -285), (-5, -171), (-9, -95), (-15, -57), and (-19, -45).
Common Mistakes and How to Avoid Them in Factors of 855
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 855, 1 and 855 are also factors.
Factors of 855 Examples
Problem 1
There are 9 friends and 855 candies. How will they divide them equally?
They will get 95 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
855/9 = 95
Problem 2
A rectangular garden has a length of 19 meters and a total area of 855 square meters. Find the width.
45 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
855 = 19 × width
To find the value of width, we need to shift 19 to the left side.
855/19 = width
Width = 45.
Problem 3
There are 15 bags and 855 apples. How many apples will be in each bag?
Each bag will have 57 apples.
Explanation
To find the apples in each bag, divide the total apples with the bags.
855/15 = 57
Problem 4
In a class, there are 171 students and 5 groups. How many students are there in each group?
There are 34 students in each group.
Explanation
Dividing the students with the total groups will give the number of students in each group.
171/5 = 34.2 (rounded to 34 for equal distribution)
Problem 5
855 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 285 books.
Explanation
Divide total books with shelves.
855/3 = 285
FAQs on Factors of 855
1.What are the factors of 855?
2.Mention the prime factors of 855.
3.Is 855 a multiple of 3?
4.Mention the factor pairs of 855?
5.What is the square of 855?
Important Glossaries for Factor of 855
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, and 855.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 19 are prime factors of 855.
- 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 855 are (1, 855), (3, 285), etc.
- Prime factorization: The process of finding the prime factors of a number. For example, the prime factorization of 855 is 3 × 3 × 5 × 19.
- Multiple: A multiple is the result of multiplying a number by an integer. For example, 855 is a multiple of 3.
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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.
