# Prime Factors of 309

Prime Factors of 309 are 3 and 103

#### How to find prime factors of a number

 1.   Prime Factorization of 309 by Division Method 2.   Prime Factorization of 309 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 309 by Division Method

To find the primefactors of 309 using the division method, follow these steps:

• Step 1. Start dividing 309 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 309, which is 3. Divide 309 by 3 to obtain the quotient (103).
309 ÷ 3 = 103
• Step 3. Repeat step 1 with the obtained quotient (103).
103 ÷ 103 = 1

So, the prime factorization of 309 is, 309 = 3 x 103.

#### Steps to find Prime Factors of 309 by Factor Tree Method

We can follow the same procedure using the factor tree of 309 as shown below:

So, the prime factorization of 309 is, 309 = 3 x 103.

#### 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 309 are 3 x 103.

#### 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 309 but not a prime factor of 309.

• Which is the smallest prime factor of 309?

Smallest prime factor of 309 is 3.

• Is 309 a perfect square?

No 309 is not a perfect square.

• What is the prime factorization of 309?

Prime factorization of 309 is 3 x 103.

• What are the factors of 309?

Factors of 309 are 1 , 3 , 103 , 309.

• What is prime factorization of 309 in exponential form?

Prime factorization of 309 in exponential form is 3 x 103.

• Is 309 a prime number or a composite number?

309 is a composite number.

• Is 309 a prime number?

false, 309 is not a prime number.

• How to find prime factorization of 309 easily?

To find prime factorization of 309 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 309?

The largest prime factor of 309 is 103.