Prime Factors of 209

Steps to find Prime Factors of 209 by Division Method

To find the primefactors of 209 using the division method, follow these steps:

• Step 1. Start dividing 209 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 209, which is 11. Divide 209 by 11 to obtain the quotient (19).
  209 ÷ 11 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
  19 ÷ 19 = 1

So, the prime factorization of 209 is, 209 = 11 x 19.

Steps to find Prime Factors of 209 by Factor Tree Method

We can follow the same procedure using the factor tree of 209 as shown below:

So, the prime factorization of 209 is, 209 = 11 x 19.

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 209 are 11 x 19.

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 209 but not a prime factor of 209.

Frequently Asked Questions

• Which is the smallest prime factor of 209?

  Smallest prime factor of 209 is 11.

• What is the prime factorization of 209?

  Prime factorization of 209 is 11 x 19.

• What is prime factorization of 209 in exponential form?

  Prime factorization of 209 in exponential form is 11 x 19.

• Is 209 a prime number or a composite number?

  209 is a composite number.

• Is 209 a prime number?

  false, 209 is not a prime number.

• How to find prime factorization of 209 easily?

  To find prime factorization of 209 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 209?

  The largest prime factor of 209 is 19.

• What is the product of all prime factors of 209?

  Prime factors of 209 are 11 x 19. Therefore, their product is 209.

• What is the sum of all odd prime factors of 209?

  Prime factors of 209 are 11 , 19, out of which 11 , 19 are odd numbers. So, the sum of odd prime factors of 209 is 11 + 19 = 30.