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Last updated on May 2nd, 2025

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Factors of 844

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Foundation
Intermediate
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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.

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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

 

factors of 844

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How to Find Factors of 844?

Factors can be found using different methods. Mentioned below are some commonly used methods:

 

  1. Finding factors using multiplication
     
  2. Finding factors using division method
     
  3. Prime factors and Prime factorization
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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.

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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.

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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.

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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).
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Common Mistakes and How to Avoid Them in Factors of 844

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Factors of 844 Examples

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Problem 1

There are 844 pencils to be divided among 4 classrooms. How many pencils will each classroom receive?

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Explanation

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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?

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Explanation

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Problem 3

A rectangular garden has a length of 211 meters and a total area of 844 square meters. What is the width?

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Explanation

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Problem 4

There are 844 apples to be packed into bags containing 2 apples each. How many bags are needed?

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Explanation

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Problem 5

A school has 844 students and 211 desks. How many students can sit at each desk?

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Explanation

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FAQs on Factors of 844

1.What are the factors of 844?

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2.Mention the prime factors of 844.

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3.Is 844 a multiple of 4?

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4.Mention the factor pairs of 844.

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5.What is half of 844?

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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.
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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.

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Fun Fact

: She loves to read number jokes and games.

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