Factors of 844: Prime Factorization, Methods, and Examples

If we divide 844 by 1, 2, 4, 211, 422, and 844 in this article and get some noninteger/positive integer as the quotient and 0 as the remainder, we can claim that these numbers are factors of 844. 

Factors Of 844

It is a composite number because there are around twelve factors in total.

Factors of 844

Here are the factors of number 844.

Factors of 844: 1, 2, 4, 211, 422 and 844

Negative Factors of 844

The negative factors of 844 are similar to their positive aspects, just with a negative sign.

Negative Factors of 844: -1, -2, -4, -211, -422 and -844

Prime Factorization of 844

The prime factorization of 844 is the way of expressing its prime factors in the product form.


Prime Factorization: 22 x 2111

In this article, we will learn about the factors of 844 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

What Are the Factors of 844?

The factors of 844 are 1, 2, 4, 211, 422, and 844. These numbers are the factors as they do not leave any remainder when divided by 844.

The factors of 844 are classified as prime numbers and composite numbers. The prime factors of the number 844 can be determined using the prime factorization technique.

How To Find the Factors of 844?

You can find the factors of 844 by using the rules of divisibility. The divisibility rule states that any number, when divided by any other natural number, is said to be divisible by the number if the quotient is the whole number and the resulting remainder is zero.

To find the factors of 844, create a list containing the numbers that are exactly divisible by 844 with zero remainders. One important thing to note is that 1 and 844 are the 844’s factors as every natural number has 1 and the number itself as its factor.

1 is also called the universal factor of every number. The factors of 844 are determined as follows:

\[\dfrac{844}{1} = 844\]

\[\dfrac{844}{2} = 422\]

\[\dfrac{844}{4} = 211\]

\[\dfrac{844}{211} = 4\]

\[\dfrac{844}{422} = 2\]

\[\dfrac{844}{844} = 1\]

Therefore, 1, 2, 4, 211, 422, and 844 are the factors of 844.

Total Number of Factors of 844

For 844, there are 6 positive factors and 6 negative ones. So in total, there are 12 factors of 844. 

To find the total number of factors of the given number, follow the procedure mentioned below:

  1. Find the factorization/prime factorization of the given number.
  2. Demonstrate the prime factorization of the number in the form of exponent form.
  3. Add 1 to each of the exponents of the prime factor.
  4. Now, multiply the resulting exponents together. This obtained product is equivalent to the total number of factors of the given number.

By following this procedure, the total number of factors of 844 is given as:

Factorization of 844 is 1 x 22 x 2111.

The exponent of 1 is 1, 2 is 2, and 211 is 1.

Adding 1 to each and multiplying them together results in 12.

Therefore, the total number of factors of 844 is 12. 6 are positive, and 6 factors are negative.

Important Notes

Here are some essential points that must be considered while finding the factors of any given number:

  • The factor of any given number must be a whole number.
  • The factors of the number cannot be in the form of decimals or fractions.
  • Factors can be positive as well as negative.
  • Negative factors are the additive inverse of the positive factors of a given number.
  • The factor of a number cannot be greater than that number.
  • Every even number has 2 as its prime factor, the smallest prime factor.

Factors of 844 by Prime Factorization

The number 844 is a composite number. Prime factorization is a valuable technique for finding the number’s prime factors and expressing the number as the product of its prime factors.

Prime factorization of 844 2

Before finding the factors of 844 using prime factorization, let us find out what prime factors are. Prime factors are the factors of any given number that are only divisible by 1 and themselves.

To start the prime factorization of 844, start dividing by its most minor prime factor. First, determine that the given number is either even or odd. If it is an even number, then 2 will be the smallest prime factor.

Continue splitting the quotient obtained until 1 is received as the quotient. The prime factorization of 844 can be expressed as:

844 = 22 x 2111

Factors of 844 in Pairs

The factor pairs are the duplet of numbers that, when multiplied together, result in the factorized number. Factor pairs can be more than one depending on the total number of factors given.

Factors of 844 in pairs 1


For 844, the factor pairs can be found as:

1 x 844 = 844

2 x 422 =844

4 x 211 = 844

The possible factor pairs of 844 are given as (1, 844), (2, 422), and (4, 211).

All these numbers in pairs, when multiplied, give 844 as the product.

The negative factor pairs of 844 are given as:

-1 x -844 = 844

-2 x -422 =844

-4 x -211 = 844

It is important to note that in negative factor pairs, the minus sign has been multiplied by the minus sign, due to which the resulting product is the original positive number. Therefore, -1, -2, -4, -211, -422 and -844 are called negative factors of 844.

The list of all the factors of 844, including positive as well as negative numbers, is given below.

Factor list of 844: 1,-1, 2,-2, 4,-4, 211,-211, 422,-422 ,844, and -844

Factors of 844 Solved Examples

To better understand the concept of factors, let’s solve some examples.

Example 1

How many factors of 844 are there?


The total number of Factors of 844 is 12.

Factors of 844 are 1, 2, 4, 211, 422, and 844.

Example 2

Find the factors of 844 using prime factorization.


The prime factorization of 844 is given as:

844 $\div$ 2 = 422 

422  $\div$ 2 = 211

211 $\div$ 211 = 1 

So the prime factorization of 844 can be written as:

22 x 2111 = 844

Factors of 843|Factors List| Factors of 845