# Factors of 539

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

#### How to find factors of a number

 1.   Find factors of 539 using Division Method 2.   Find factors of 539 using Prime Factorization 3.   Find factors of 539 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 539

• Divide 539 by 1: 539 ÷ 1 : Remainder = 0
• Divide 539 by 7: 539 ÷ 7 : Remainder = 0
• Divide 539 by 11: 539 ÷ 11 : Remainder = 0
• Divide 539 by 49: 539 ÷ 49 : Remainder = 0
• Divide 539 by 77: 539 ÷ 77 : Remainder = 0
• Divide 539 by 539: 539 ÷ 539 : Remainder = 0

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

#### 2. Steps to find factors of 539 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 539 using the division method, follow these steps:

• Step 1. Start dividing 539 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 539, which is 7. Divide 539 by 7 to obtain the quotient (77).
539 ÷ 7 = 77
• Step 3. Repeat step 1 with the obtained quotient (77).
77 ÷ 7 = 11
11 ÷ 11 = 1

So, the prime factorization of 539 is, 539 = 7 x 7 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 539 as shown below:

So, the prime factorization of 539 is, 539 = 7 x 7 x 11.

#### 3. Find factors of 539 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 539 would be the two numbers which, when multiplied, give 539 as the result.

The following table represents the calculation of factors of 539 in pairs:

Factor Pair Pair Factorization
1 and 539 1 x 539 = 539
7 and 77 7 x 77 = 539
11 and 49 11 x 49 = 539

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 539. They are called negative pair factors.

Hence, the negative pairs of 539 would be ( -1 , -539 ) , ( -7 , -77 ) and ( -11 , -49 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 539 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 7, 11, 49, 77, 539 are exact divisors of 539.
• Factors of 539 are 1, 7, 11, 49, 77, 539. Each factor divides 539 without leaving a remainder.

• What is prime factorization of 539?

Prime factorization of 539 is 7 x 7 x 11.

• How do you find factors of a negative number? ( eg. -539 )?

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

• What are the prime factors of 539?

The factors of 539 are 1, 7, 11, 49, 77, 539.
Prime factors of 539 are 7, 7, 11.

• What are pair factors of 539?

The pair factors of 539 are (1,539), (7,77), (11,49).

• What is the greatest prime factors of 539?

The greatest prime factor of 539 is 11.

• What are six multiples of 539?

First five multiples of 539 are 1078, 1617, 2156, 2695, 3234, 3773.

• What are factors of 539?

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

• Which is the smallest prime factor of 539?

Smallest prime factor of 539 is 7.

• Is 539 a whole number?

Yes 539 is a whole number.

#### Examples of Factors

Kevin has been asked to write 5 factor(s) of 539. Can you predict the answer?

5 factor(s) of 539 are 1, 7, 11, 49, 77.

Sammy is puzzled while calculating the prime factors of 539. Can you help him find them?

Factors of 539 are 1, 7, 11, 49, 77, 539.
Prime factors of 539 are 7, 7, 11

What is prime factorization of 539?

Prime factorization of 539 is 7 x 7 x 11 = 72 x 11.

Ariel has been assigned the task to find the product of all the prime factors of 539. Can you help her?

Prime factors of 539 are 7, 7, 11.
Hence, the product of prime factors of 77.

Can you help Rubel to find out the product of the even factors of 539?

Factors of 539 are 1, 7, 11, 49, 77, 539.
Even factors of 539 are 0.
Hence, product of even factors of 539 is; 0 = 0.

Joy wants to calculate mean of all the factors of 539. Help him in finding the mean of 539.

Factors of 539 are 1, 7, 11, 49, 77, 539.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 539 is 1 + 7 + 11 + 49 + 77 + 539 = 684.
Hence, the mean of factors of 539 is 684 ÷ 6 = 114.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 539? Help her in writing all the factors.

Positive factors are 1, 7, 11, 49, 77, 539.
Negative factors are -1, -7, -11, -49, -77, -539.