Prime Factors of 306

Steps to find Prime Factors of 306 by Division Method

To find the primefactors of 306 using the division method, follow these steps:

• Step 1. Start dividing 306 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 306, which is 2. Divide 306 by 2 to obtain the quotient (153).
  306 ÷ 2 = 153
• Step 3. Repeat step 1 with the obtained quotient (153).
  153 ÷ 3 = 51
  51 ÷ 3 = 17
  17 ÷ 17 = 1

So, the prime factorization of 306 is, 306 = 2 x 3 x 3 x 17.

Steps to find Prime Factors of 306 by Factor Tree Method

We can follow the same procedure using the factor tree of 306 as shown below:

So, the prime factorization of 306 is, 306 = 2 x 3 x 3 x 17.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 306 are 2 x 3 x 3 x 17.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 306 but not a prime factor of 306.

Frequently Asked Questions

• Is 306 a prime number?

  false, 306 is not a prime number.

• How to find prime factorization of 306 easily?

  To find prime factorization of 306 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 306?

  The largest prime factor of 306 is 17.

• What is the sum of all prime factors of 306?

  Prime factors of 306 are 2 x 3 x 3 x 17. Therefore, their sum is 25.

• What is the product of all prime factors of 306?

  Prime factors of 306 are 2 x 3 x 3 x 17. Therefore, their product is 306.

• What numbers are the prime factors of 306?

  Prime factors of 306 are 2 , 3 , 3 , 17.

• What is the sum of all odd prime factors of 306?

  Prime factors of 306 are 2 , 3 , 3 , 17, out of which 3 , 3 , 17 are odd numbers. So, the sum of odd prime factors of 306 is 3 + 3 + 17 = 23.

• Is there any even prime factor of 306?

  Yes there is a even prime factor of 306.

• What is the product of all odd prime factors of 306?

  Prime factors of 306 are 2 , 3 , 3 , 17, out of which 3 , 3 , 17 are odd numbers. So, the product of odd prime factors of 306 is 3 x 3 x 17 = 153.