 # Factors of 539: Prime Factorization, Methods, and Examples

Six factors are 1, 7, 11, 49, 77 of 539 which includes 539 also is such that if these factors are used as the divisor and 539 a dividend then it gives 0th number as remainder with the whole number as quotient. ### Factors of 539

Here are the factors of number 539.

Factors of 539: 1, 7, 11, 49, 77, and 539

### Negative Factors of 539

The negative factors of 539 are similar to their positive aspects, just with a negative sign.

Negative Factors of 539: -1, -7, -11, -49, -77, and -539

### Prime Factorization of 539

The prime factorization of 539 is the way of expressing its prime factors in the product form.

Prime Factorization: 7 x 7 x 11

In this article, we will learn about the factors of 539 and how to find them using various techniques such as upside-down division, prime factorization, and factor tree.

## What Are the Factors of 539?

The factors of 539 are 1, 7, 11, 49, 77, and 539. These numbers are the factors as they do not leave any remainder when divided by 539.

The factors of 539 are classified as prime numbers and composite numbers. The prime factors of the number 539 can be determined using the prime factorization technique.

## How To Find the Factors of 539?

You can find the factors of 539 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 539, create a list containing the numbers that are exactly divisible by 539 with zero remainders. One important thing to note is that 1 and 539 are the 539’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 539 are determined as follows:

$\dfrac{539}{1} = 539$

$\dfrac{539}{7} = 77$

$\dfrac{539}{11} = 49$

$\dfrac{539}{49} = 11$

$\dfrac{539}{77} = 7$

$\dfrac{539}{539} = 1$

Therefore, 1, 7, 11, 49, 77, and 539 are the factors of 539.

### Total Number of Factors of 539

For 539, there are six positive factors and six negative ones. So in total, there are twelve factors of 539.

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 539 is given as:

Factorization of 539 is 7 x 7 x 11.

The exponent of 7, 7, and 11 is 1.

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

Therefore, the total number of factors of 539 is twelve whereas six are positive, and six 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 539 by Prime Factorization

The number 539 is a composite. 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 539 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 539, 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 539 can be expressed as:

539 = 7 x 7 x 11

## Factors of 539 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 539, the factor pairs can be found as:

1 x 539 = 539

7 x 77 = 539

11 x 49 = 539

The possible factor pairs of 539 are given as (1, 539), (7, 77), and (11, 49).

All these numbers in pairs, when multiplied, give 539 as the product.

The negative factor pairs of 539 are given as:

-1 x -539 = 539

-7 x -77 = 539

-11 x -49 = 539

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, -7, -11, -49, -77, and -539 are called negative factors of 539.

The list of all the factors of 539, including positive as well as negative numbers, is given below.

Factor list of 539: 1, -1, 7, -7, 11, -11, 49, -49, 77, -77, 539, and -539

## Factors of 539 Solved Examples

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

### Example 1

How many factors of 539 are there?

### Solution

The total number of Factors of 539 is six.

Factors of 539 are 1, 7, 11, 49, 77, and 539.

### Example 2

Find the factors of 539 using prime factorization.

### Solution

The prime factorization of 539 is given as:

539 $\div$ 11 = 49

49 $\div$ 7 = 7

7 $\div$ 7 = 1

So the prime factorization of 539 can be written as:

7 x 7 x 11 = 539