Prime Factors of 589

Steps to find Prime Factors of 589 by Division Method

To find the primefactors of 589 using the division method, follow these steps:

• Step 1. Start dividing 589 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 589, which is 19. Divide 589 by 19 to obtain the quotient (31).
  589 ÷ 19 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
  31 ÷ 31 = 1

So, the prime factorization of 589 is, 589 = 19 x 31.

Steps to find Prime Factors of 589 by Factor Tree Method

We can follow the same procedure using the factor tree of 589 as shown below:

So, the prime factorization of 589 is, 589 = 19 x 31.

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 589 are 19 x 31.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 589 but not a prime factor of 589.

Frequently Asked Questions

• Which is the smallest prime factor of 589?

  Smallest prime factor of 589 is 19.

• Is 589 a perfect square?

  No 589 is not a perfect square.

• What is the prime factorization of 589?

  Prime factorization of 589 is 19 x 31.

• What are the factors of 589?

  Factors of 589 are 1 , 19 , 31 , 589.

• What is prime factorization of 589 in exponential form?

  Prime factorization of 589 in exponential form is 19 x 31.

• Is 589 a prime number or a composite number?

  589 is a composite number.

• Is 589 a prime number?

  false, 589 is not a prime number.

• How to find prime factorization of 589 easily?

  To find prime factorization of 589 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 589?

  The largest prime factor of 589 is 31.