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# Factors of 79: Prime Factorization, Methods, and Examples

**79** is a **prime number** so 79 has only two factors. The factors of a prime number are 1 and the number itself as only these two numbers can completely divide the prime number. Therefore the factorization of 79 will result in two factors.

The factors of the given number can be **positive** and **negative** provided that the product of any of those two is always the factored number.

### Factors of 79

Here are the factors of number** 79.**

**Factors of 79**: 1 and 79

### Negative Factors of 79

The **negative factors of 79** are similar to its positive factors, just with a negative sign.

The **negative factors of 79** are given below.

**Negative Factors of 79**: -1 and -79

### Prime Factorization of 79

The **prime factorization of 79** is expressing its product in terms of its prime factors.

**Prime Factorization:** 1 x 79

In this article, we will learn about the **factors of 79** and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 79?

**The factors of number 79 are 1, and 79. Both of these numbers are the factors as they do not leave any remainder when divided by 79.**

The **factors of 79** are classified as prime numbers as 79 itself is a prime number. The prime factors of the number 79 can be determined using the technique of prime factorization.

## How To Find the Factors of 79?

You can find the **factors of 79** by using the rules of divisibility. The rule of divisibility states that any number when divided by any other natural number then it 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 79, create a list containing the numbers that are exactly divisible by 79 with zero remainders. One important thing to note is that 1 and numbers themselves are the factors of 79 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 79 are determined as follows:

\[\dfrac{79}{1} = 79\]

\[\dfrac{79}{79} = 1\]

Therefore, 1, and 79 are the factors of 79.

### Total Number of Factors of 79

For 79 there are 2** positive factors** as found above and 2** negative factors**. So in total, there are 4 factors of 79.

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

- Find the prime factorization of the given number.
- Demonstrate the prime factorization of the number in the form of exponent form.
- Add 1 to each of the exponents of the prime factor.
- 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 79 is given as:

Prime Factorization of 79 is **1 x 79**.

The exponent of both 1 and 79 is 1.

Adding 1 to each and multiplying them together results in 4.

Therefore, the **total number of factors** of 79 is 4.

### 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 which is the smallest prime factor.

## Factors of 79 by Prime Factorization

The **number 79** is a prime 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 79 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 79, 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 79** can be expressed as:

**79 = 1 x 79 **

## Factors of 79 in Pairs

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

79 is a prime number that has only two factors therefore there can be only a 1-factor pair of 79.

For 79, the factor pair can be found as:

**1 x 79 = 79**

The possible** factor pair of 79 **is **(1, 79)**.

Both of these numbers in pairs, when multiplied, give 79 as the product.

The **negative factor pair** of 79 is given as:

**-1 x -79 = 79 **

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, and -79 are called negative factors of 79.

The list of all the factors of number 79 including positive as well as negative numbers is given below.

**Factor list**: 1, -1, 79, and -79

## Factors of 71 Solved Examples

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

### Example 1

How many factors of 79 are there?

### Solution

The total number of Factors of 79 is 4. Positive factors are 1 and 79.

Negative factors are -1 and -79.

### Example 2

Find the factors of 79 using prime factorization.

### Solution

The prime factorization of 79 is given as:

**79 $\div$ 1 = 79**

So the prime factorization of 79 can be written as:

**1 x 79 = 79**

### Example 3

What is the sum of factors of 79?

### Solution

The sum of the factors of 79 is 1 + 79 = 80.

**Therefore the sum of its factors is equal to 80**.