110 LearnersLast updated on May 26th, 2025
Factors of 844
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 844, how they are used in real life, and tips to learn them quickly.
What are the Factors of 844?
The numbers that divide 844 evenly are known as factors of 844.
A factor of 844 is a number that divides the number without remainder.
The factors of 844 are 1, 2, 4, 211, 422, and 844.
Negative factors of 844: -1, -2, -4, -211, -422, and -844.
Prime factors of 844: 2 and 211.
Prime factorization of 844: 2² × 211.
The sum of factors of 844: 1 + 2 + 4 + 211 + 422 + 844 = 1484
How to Find Factors of 844?
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 844. Identifying the numbers which are multiplied to get the number 844 is the multiplication method.
Step 1: Multiply 844 by 1, 844 × 1 = 844.
Step 2: Check for other numbers that give 844 after multiplying
2 × 422 = 844
4 × 211 = 844
Therefore, the positive factor pairs of 844 are: (1, 844), (2, 422), (4, 211).
All these factor pairs result in 844.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 844 by 1, 844 ÷ 1 = 844.
Step 2: Continue dividing 844 by the numbers until the remainder becomes 0.
844 ÷ 1 = 844
844 ÷ 2 = 422
844 ÷ 4 = 211
Therefore, the factors of 844 are: 1, 2, 4, 211, 422, 844.
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 844 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
844 ÷ 2 = 422
422 ÷ 2 = 211
211 ÷ 211 = 1
The prime factors of 844 are 2 and 211.
The prime factorization of 844 is: 2² × 211.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 844 is divided by 2 to get 422.
Step 2: Now divide 422 by 2 to get 211. Step 3: 211 is a prime number, so the division stops here. So, the prime factorization of 844 is: 2² × 211.
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 844: (1, 844), (2, 422), and (4, 211).
- Negative factor pairs of 844: (-1, -844), (-2, -422), and (-4, -211).
Common Mistakes and How to Avoid Them in Factors of 844
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 844, 1 and 844 are also factors.
Factors of 844 Examples
Problem 1
There are 844 pencils to be divided among 4 classrooms. How many pencils will each classroom receive?
Each classroom will receive 211 pencils.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of classrooms.
844/4 = 211
Problem 2
A piece of ribbon is 844 cm long and needs to be cut into strips of 2 cm each. How many strips can be obtained?
422 strips can be obtained.
Explanation
To find the number of strips, divide the total length by the length of each strip.
844/2 = 422
Problem 3
A rectangular garden has a length of 211 meters and a total area of 844 square meters. What is the width?
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
844 = 211 × width
To find the value of width, we need to shift 211 to the left side.
844/211 = width
Width = 4.
Problem 4
There are 844 apples to be packed into bags containing 2 apples each. How many bags are needed?
422 bags are needed.
Explanation
To find how many bags are needed, divide the total apples by the number of apples per bag.
844/2 = 422
Problem 5
A school has 844 students and 211 desks. How many students can sit at each desk?
Each desk can accommodate 4 students.
Explanation
Divide the total number of students by the number of desks.
844/211 = 4
FAQs on Factors of 844
1.What are the factors of 844?
2.Mention the prime factors of 844.
3.Is 844 a multiple of 4?
4.Mention the factor pairs of 844.
5.What is half of 844?
Important Glossaries for Factors of 844
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 844 are 1, 2, 4, 211, 422, and 844.
- Prime factors: The factors which are prime numbers. For example, 2 and 211 are prime factors of 844.
- 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 844 are (1, 844), (2, 422), and (4, 211).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 844 is 2² × 211.
- Multiple: A number that can be divided by another number without a remainder. For example, 844 is a multiple of 4.
Explore More numbers
Previous to Factors of 844
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.
