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 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

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.

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.

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.

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).

• 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.