100 LearnersLast updated on May 26th, 2025
Factors of 849
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 849, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 849?
The numbers that divide 849 evenly are known as factors of 849.
A factor of 849 is a number that divides the number without remainder.
The factors of 849 are 1, 3, 283, and 849.
Negative factors of 849: -1, -3, -283, and -849.
Prime factors of 849: 3 and 283.
Prime factorization of 849: 3 × 283.
The sum of factors of 849: 1 + 3 + 283 + 849 = 1136
How to Find Factors of 849?
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 849. Identifying the numbers which are multiplied to get the number 849 is the multiplication method.
Step 1: Multiply 849 by 1, 849 × 1 = 849.
Step 2: Check for other numbers that give 849 after multiplying
3 × 283 = 849
Therefore, the positive factor pairs of 849 are: (1, 849), (3, 283).
All these factor pairs result in 849.
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 a whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 849 by 1, 849 ÷ 1 = 849.
Step 2: Continue dividing 849 by the numbers until the remainder becomes 0.
849 ÷ 1 = 849
849 ÷ 3 = 283
Therefore, the factors of 849 are: 1, 3, 283, 849.
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 849 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
849 ÷ 3 = 283
283 is a prime number.
The prime factors of 849 are 3 and 283.
The prime factorization of 849 is: 3 × 283.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 849 is divided by 3 to get 283.
Step 2: 283 is a prime number and cannot be divided further.
So, the prime factorization of 849 is: 3 × 283.
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 849: (1, 849), (3, 283).
Negative factor pairs of 849: (-1, -849), (-3, -283).
Common Mistakes and How to Avoid Them in Factors of 849
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 849, 1 and 849 are also factors.
Factors of 849 Examples
Problem 1
There are 3 teams and 849 points. How will they distribute the points equally?
They will get 283 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
849/3 = 283
Problem 2
A garden is rectangular, the length of the garden is 3 meters and the total area is 849 square meters. Find the width?
283 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
849 = 3 × width
To find the value of width, we need to shift 3 to the left side.
849/3 = width
Width = 283.
Problem 3
There are 283 boxes and 849 apples. How many apples will be in each box?
Each box will have 3 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
849/283 = 3
Problem 4
In a class, there are 849 students, and 3 groups. How many students are there in each group?
There are 283 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
849/3 = 283
Problem 5
849 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 283 books.
Explanation
Divide total books by shelves.
849/3 = 283
FAQs on Factors of 849
1.What are the factors of 849?
2.Mention the prime factors of 849.
3.Is 849 a multiple of 3?
4.Mention the factor pairs of 849?
5.What is the square of 849?
Important Glossaries for Factor of 849
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 849 are 1, 3, 283, and 849.
- Prime Factors: The factors which are prime numbers. For example, 3 and 283 are prime factors of 849.
- 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 849 are (1, 849) and (3, 283).
- Prime Factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 849 is 3 × 283.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 849 is a multiple of 3.
Explore More numbers
Previous to Factors of 849
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.
