101 LearnersLast updated on May 26th, 2025
Factors of 851
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 851, how they are used in real life, and tips to learn them quickly.
What are the Factors of 851?
The numbers that divide 851 evenly are known as factors of 851.
A factor of 851 is a number that divides the number without a remainder.
The factors of 851 are 1, 23, 37, and 851.
Negative factors of 851: -1, -23, -37, and -851.
Prime factors of 851: 23 and 37.
Prime factorization of 851: 23 × 37.
The sum of factors of 851: 1 + 23 + 37 + 851 = 912
How to Find Factors of 851?
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 851. Identifying the numbers which are multiplied to get the number 851 is the multiplication method.
Step 1: Multiply 851 by 1, 851 × 1 = 851.
Step 2: Check for other numbers that give 851 after multiplying
23 × 37 = 851
Therefore, the positive factor pairs of 851 are: (1, 851) and (23, 37).
All these factor pairs result in 851.
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 result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 851 by 1, 851 ÷ 1 = 851.
Step 2: Continue dividing 851 by the numbers until the remainder becomes 0.
851 ÷ 1 = 851
851 ÷ 23 = 37
851 ÷ 37 = 23
Therefore, the factors of 851 are: 1, 23, 37, and 851.
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 851 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
851 ÷ 23 = 37
37 ÷ 37 = 1
The prime factors of 851 are 23 and 37.
The prime factorization of 851 is: 23 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 851 is divided by 23 to get 37.
Step 2: 37 is a prime number and cannot be divided further. So, the prime factorization of 851 is: 23 × 37.
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 851: (1, 851) and (23, 37).
Negative factor pairs of 851: (-1, -851) and (-23, -37).
Common Mistakes and How to Avoid Them in Factors of 851
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 851, 1 and 851 are also factors.
Factors of 851 Examples
Problem 1
There are 23 students and 851 apples. How will they divide it equally?
They will get 37 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of students.
851/23 = 37
Problem 2
A field is rectangular, the length of the field is 37 meters and the total area is 851 square meters. Find the width?
23 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
851 = 37 × width
To find the value of the width, we need to shift 37 to the left side.
851/37 = width
Width = 23.
Problem 3
There are 37 boxes and 851 oranges. How many oranges will be in each box?
Each box will have 23 oranges.
Explanation
To find the oranges in each box, divide the total oranges by the number of boxes.
851/37 = 23
Problem 4
In a class, there are 851 students, and 37 groups. How many students are there in each group?
There are 23 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
851/37 = 23
Problem 5
851 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 37 books.
Explanation
Divide total books by shelves.
851/23 = 37
FAQs on Factors of 851
1.What are the factors of 851?
2.Mention the prime factors of 851.
3.Is 851 a multiple of 23?
4.Mention the factor pairs of 851?
5.What is the square of 851?
6.How can children in Oman use numbers in everyday life to understand Factors of 851?
7.What are some fun ways kids in Oman can practice Factors of 851 with numbers?
8.What role do numbers and Factors of 851 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 851 skills?
Important Glossaries for Factor of 851
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 851 are 1, 23, 37, and 851.
- Prime factors: The factors which are prime numbers. For example, 23 and 37 are prime factors of 851.
- 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 851 are (1, 851) and (23, 37).
- Prime factorization: The process of breaking down a number into its prime factors. For example, 851 = 23 × 37.
- Negative factors: Factors of a number that are negative. For example, the negative factors of 851 are -1, -23, -37, and -851.
Explore More numbers
Previous to Factors of 851
About BrightChamps in Oman
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.
