# Factors of 559

Factors of 559 are 1, 13, 43, and 559

#### How to find factors of a number

 1.   Find factors of 559 using Division Method 2.   Find factors of 559 using Prime Factorization 3.   Find factors of 559 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 559

• Divide 559 by 1: 559 ÷ 1 : Remainder = 0
• Divide 559 by 13: 559 ÷ 13 : Remainder = 0
• Divide 559 by 43: 559 ÷ 43 : Remainder = 0
• Divide 559 by 559: 559 ÷ 559 : Remainder = 0

Hence, Factors of 559 are 1, 13, 43, and 559

#### 2. Steps to find factors of 559 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 559 using the division method, follow these steps:

• Step 1. Start dividing 559 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 559, which is 13. Divide 559 by 13 to obtain the quotient (43).
559 ÷ 13 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 559 is, 559 = 13 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 559 as shown below:

So, the prime factorization of 559 is, 559 = 13 x 43.

#### 3. Find factors of 559 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 559 would be the two numbers which, when multiplied, give 559 as the result.

The following table represents the calculation of factors of 559 in pairs:

Factor Pair Pair Factorization
1 and 559 1 x 559 = 559
13 and 43 13 x 43 = 559

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 559. They are called negative pair factors.

Hence, the negative pairs of 559 would be ( -1 , -559 ) , ( -13 , -43 ) .

#### 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 559 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, 13, 43, 559 are exact divisors of 559.
• Factors of 559 are 1, 13, 43, 559. Each factor divides 559 without leaving a remainder.

• What are the prime factors of 559?

The factors of 559 are 1, 13, 43, 559.
Prime factors of 559 are 13, 43.

• What is the sum of all factors of 559?

The sum of all factors of 559 is 616.

• What are the pair factors of 559?

Pair factors of 559 are (1,559), (13,43).

• What two numbers make 559?

Two numbers that make 559 are 13 and 43.

• What are multiples of 559?

First five multiples of 559 are 1118, 1677, 2236, 2795.

• Is 559 a perfect square?

No 559 is not a perfect square.

• Which is greatest factor of 559?

The greatest factor of 559 is 43.

• How do you factors of 559?

Factors of 559 are 1, 13, 43, 559.

• What are five multiples of 559?

First five multiples of 559 are 1118, 1677, 2236, 2795, 3354.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 559?

Factors of 559 are 1, 13, 43, 559.
Even factors of 559 are 0.
Hence, product of even factors of 559 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 559? Help her in writing all the factors.

Positive factors are 1, 13, 43, 559.
Negative factors are -1, -13, -43, -559.

How many factors are there for 559?

Factors of 559 are 1, 13, 43, 559.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 559. Can you help him find them?

Factors of 559 are 1, 13, 43, 559.
Prime factors of 559 are 13, 43

Joey wants to write all the prime factors of 559 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 559 are 13, 43.
So in exponential form it can be written as 13 x 43.

What is prime factorization of 559?

Prime factorization of 559 is 13 x 43 = 13 x 43.

Can you help Rubel to find out the product of the even factors of 559?

Factors of 559 are 1, 13, 43, 559.
Even factors of 559 are 0.
Hence, product of even factors of 559 is; 0 = 0.