Prime Factors of 559

Steps to find Prime Factors of 559 by 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.

Steps to find Prime Factors of 559 by 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.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 559 are 13 x 43.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 559 but not a prime factor of 559.

Frequently Asked Questions

• Which is the smallest prime factor of 559?

  Smallest prime factor of 559 is 13.

• What are the factors of 559?

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

• What is prime factorization of 559 in exponential form?

  Prime factorization of 559 in exponential form is 13 x 43.

• Is 559 a prime number or a composite number?

  559 is a composite number.

• Is 559 a prime number?

  false, 559 is not a prime number.

• What is the sum of all prime factors of 559?

  Prime factors of 559 are 13 x 43. Therefore, their sum is 56.

• What is the product of all prime factors of 559?

  Prime factors of 559 are 13 x 43. Therefore, their product is 559.

• What numbers are the prime factors of 559?

  Prime factors of 559 are 13 , 43.

• What is the sum of all odd prime factors of 559?

  Prime factors of 559 are 13 , 43, out of which 13 , 43 are odd numbers. So, the sum of odd prime factors of 559 is 13 + 43 = 56.