Prime Factors of 2009

Steps to find Prime Factors of 2009 by Division Method

To find the primefactors of 2009 using the division method, follow these steps:

• Step 1. Start dividing 2009 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 2009, which is 7. Divide 2009 by 7 to obtain the quotient (287).
  2009 ÷ 7 = 287
• Step 3. Repeat step 1 with the obtained quotient (287).
  287 ÷ 7 = 41
  41 ÷ 41 = 1

So, the prime factorization of 2009 is, 2009 = 7 x 7 x 41.

Steps to find Prime Factors of 2009 by Factor Tree Method

We can follow the same procedure using the factor tree of 2009 as shown below:

So, the prime factorization of 2009 is, 2009 = 7 x 7 x 41.

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 2009 are 7 x 7 x 41.

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 2009 but not a prime factor of 2009.

Frequently Asked Questions

• Which is the smallest prime factor of 2009?

  Smallest prime factor of 2009 is 7.

• What is the prime factorization of 2009?

  Prime factorization of 2009 is 7 x 7 x 41.

• What is prime factorization of 2009 in exponential form?

  Prime factorization of 2009 in exponential form is 7² x 41.

• Is 2009 a prime number or a composite number?

  2009 is a composite number.

• Is 2009 a prime number?

  false, 2009 is not a prime number.

• How to find prime factorization of 2009 easily?

  To find prime factorization of 2009 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2009?

  The largest prime factor of 2009 is 41.

• What is the product of all prime factors of 2009?

  Prime factors of 2009 are 7 x 7 x 41. Therefore, their product is 2009.

• What is the sum of all odd prime factors of 2009?

  Prime factors of 2009 are 7 , 7 , 41, out of which 7 , 7 , 41 are odd numbers. So, the sum of odd prime factors of 2009 is 7 + 7 + 41 = 55.