 # Factors of 244: Prime Factorization, Methods, and Examples

Factors of a number are those integers that give the whole number quotient when the number is divided by them. The factors of 244 are 6 in total.  The factors of the given number can be positive as well as negative provided that the given number is achieved upon multiplication of two-factor integers.

### Factors of 244

Here are the factors of number 244.

Factors of 244: 1, 2, 4, 61, 122, 244

### Negative Factors of 244

The negative factors of 244 are similar to its positive factors, just with a negative sign.

Negative Factors of 244: -1, -2, -4, -61, -122, -244

### Prime Factorization of 244

The prime factorization of 244 is the way of expressing its prime factors in the product form.

Prime Factorization: $2^{2} \times 61$

In this article, we will learn about the factors of 244 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 244?

The factors of 244 are 1, 2, 4, 61,122, and 244. All of these numbers are the factors as they do not leave any remainder when divided by 244.

The factors of 244 are classified as prime numbers and composite numbers. The prime factors of the number 244 can be determined using the technique of prime factorization.

## How To Find the Factors of 244?

You can find the factors of 244 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 244, create a list containing the numbers that are exactly divisible by 244 with zero remainders. One important thing to note is that 1 and 244 are the 244’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 244 are determined as follows:

$\dfrac{244}{1} = 244$

$\dfrac{244}{2} = 122$

$\dfrac{244}{61} = 4$

$\dfrac{244}{244} = 1$

Therefore, 1, 2, 4, 61, 122, and 244 are the factors of 244.

### Total Number of Factors of 244

For 244 there are 6 positive factors and 6 negative ones. So in total, there are 12 factors of 244.

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

1. Find the 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 244 is given as:

Factorization of 244 is 1 x $2^{2}$ x 61.

The exponent of 1, and 61 is 1. While the exponent of 2 is 2.

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

Therefore, the total number of factors of 244 is 12. 6 are positive and 6 factors are negative.

### Important Notes

Here are some important 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 244 by Prime Factorization

The number 244 is a composite number. Prime factorization is a useful technique for finding the number’s prime factors and expressing the number as the product of its prime factors.

Before finding the factors of 244 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 244, start dividing by its smallest 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 244 can be expressed as:

244 = 2 x 2 x 61

## Factors of 244 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 of the given numbers.

For 244, the factor pairs can be found as:

1 x 244 = 244

2 x 122 = 244

4 x 61 = 244

The possible factor pairs of 244 are given as (1, 244),(2, 122), and (4, 61).

All these numbers in pairs, when multiplied, give 244 as the product.

The negative factor pairs of 244 are given as:

-1 x -244 = 244

-2 x -122 = 244

-4 x -61 = 244

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, -61, -122 and -244 are called negative factors of 244.

The list of all the factors of 244 including positive as well as negative numbers is given below.

Factor list of 244: 1, -1, 2, -2, 4, -4, 61, -61, 122,-122, 244, and -244

## Factors of 244 Solved Examples

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

### Example 1

How many factors of 244 are there?

### Solution

The total number of Factors of 244 is m.

Factors of 244 are 1, 2, 4, 61, 122, and 244.

### Example 2

Find the factors of 244 using prime factorization.

### Solution

The prime factorization of 244 is given as:

244 $\div$ 2 = 122

122 $\div$ 2 = 61

61 $\div$ 61 = 1

So the prime factorization of 244 can be written as:

$2^{2}$ x 11 = 244

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