# Factors of 808: Prime Factorization, Methods, and Examples

Both a positive and a whole negative number factor of 808 exist. The result is another factor of 808, meaning it is entirely divisible by its factors when the number 808 is used as a dividend, and any of its factors is used as a divisor.

### Factors of 808

Here are the factors of number 808.

Factors of 808:1, 2, 4, 8, 101, 202, 404, and 808.

### Negative Factors of 808

The negative factors of 808  are similar to their positive aspects, just with a negative sign.

Negative Factors of 808 : -1, -2, -4, -8, -101, -202, -404, and 808.

### Prime Factorization of 808

The prime factorization of 808  is the way of expressing its prime factors in the product form.

Prime Factorization: 2 x 2 x 2 x 101

In this article, we will learn about the factors of 808 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 808?

The factors 808 are 1, 2, 4, 8, 101, 202, 404, and 808. These numbers are the factors as they do not leave any remainder when divided by 808.

The factors of 808  are classified as prime numbers and composite numbers. The prime factors of the number 808 can be determined using the prime factorization technique.

## How To Find the Factors of 808?

You can find the factors of 808 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 808, create a list containing the numbers that are exactly divisible by 808 with zero remainders. One important thing to note is that 1 and 808 are the 808 ‘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 808 are determined as follows:

$\dfrac{808 }{1} = 808$

$\dfrac{808 }{2} = 404$

$\dfrac{808 }{4} = 202$

$\dfrac{808 }{8 } = 101$

$\dfrac{808 }{101} = 8$

$\dfrac{808 }{202} = 4$

$\dfrac{808 }{404} = 2$

$\dfrac{808 }{808 } = 1$

Therefore, 1, 2, 4, 8, 101, 202, 404, and 808. are the factors of 808.

### Total Number of Factors of 808

For 808, there are 8 positive factors and 8 negative ones. So in total, there are 16 factors of 808.

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 808 is given as:

Factorization of 808  is 1 x 2 x 2 x 2 x 101.

The exponent of 1 is 1, 2 is 2, and 101 is 1.

Adding 1 to each and multiplying them together results in 16.

Therefore, the total number of factors of 808 is 16. 8 are positive, and 8 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 808 by Prime Factorization

The number 808 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.

Before finding the factors of 808 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 808, 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 808can be expressed as:

808 = 2 x 2 x 2 x 101

## Factors of 808 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.

For 808, the factor pairs can be found as:

1 x 808 = 808

2 x 404 = 808

4 x 202 = 808

8 x 101 = 808

The possible factor pairs of 808 are given as (1, 808), (2, 404 ),(4, 202 ), and (8, 101 ).

All these numbers in pairs, when multiplied, give 808 as the product.

The negative factor pairs of 808 are given as:

-1 x -808 = 808

-2 x -404 = 808

-4 x -202 = 808

-8 x -101 = 808

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, -8, -101, -202, -404, and 808. are called negative factors of 808.

The list of all the factors of 808, including positive as well as negative numbers, is given below.

Factor list of 808: 1,-1, 2,-2, 4,-4, 8,-8, 101,-101, 202,-202, 404,-404,  808, and -808

## Factors of 808 Solved Examples

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

### Example 1

How many factors of 808 are there?

### Solution

The total number of Factors of 808 is 16.

Factors of 808 are 1, 2, 4, 8, 101, 202, 404, and 808.

### Example 2

Find the factors of 808 using prime factorization.

### Solution

The prime factorization of 808 is given as:

808 $\div$ 2 = 404

404 $\div$ 2 = 202

202 $\div$ 2 = 101

101 $\div$ 101 = 1

So the prime factorization of 808 can be written as:

2 x 2 x 2 x 101 = 808