# Prime Factors of 1209

Prime Factors of 1209 are 3, 13, and 31

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

 1.   Prime Factorization of 1209 by Division Method 2.   Prime Factorization of 1209 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1209 by Division Method

To find the primefactors of 1209 using the division method, follow these steps:

• Step 1. Start dividing 1209 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 1209, which is 3. Divide 1209 by 3 to obtain the quotient (403).
1209 ÷ 3 = 403
• Step 3. Repeat step 1 with the obtained quotient (403).
403 ÷ 13 = 31
31 ÷ 31 = 1

So, the prime factorization of 1209 is, 1209 = 3 x 13 x 31.

#### Steps to find Prime Factors of 1209 by Factor Tree Method

We can follow the same procedure using the factor tree of 1209 as shown below:

So, the prime factorization of 1209 is, 1209 = 3 x 13 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 1209 are 3 x 13 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 1209 but not a prime factor of 1209.

• Which is the smallest prime factor of 1209?

Smallest prime factor of 1209 is 3.

• What is the prime factorization of 1209?

Prime factorization of 1209 is 3 x 13 x 31.

• What is prime factorization of 1209 in exponential form?

Prime factorization of 1209 in exponential form is 3 x 13 x 31.

• Is 1209 a prime number or a composite number?

1209 is a composite number.

• Is 1209 a prime number?

false, 1209 is not a prime number.

• How to find prime factorization of 1209 easily?

To find prime factorization of 1209 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1209?

The largest prime factor of 1209 is 31.

• What is the product of all prime factors of 1209?

Prime factors of 1209 are 3 x 13 x 31. Therefore, their product is 1209.

• What is the sum of all odd prime factors of 1209?

Prime factors of 1209 are 3 , 13 , 31, out of which 3 , 13 , 31 are odd numbers. So, the sum of odd prime factors of 1209 is 3 + 13 + 31 = 47.