Prime Factors of 2509

Steps to find Prime Factors of 2509 by Division Method

To find the primefactors of 2509 using the division method, follow these steps:

• Step 1. Start dividing 2509 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 2509, which is 13. Divide 2509 by 13 to obtain the quotient (193).
  2509 ÷ 13 = 193
• Step 3. Repeat step 1 with the obtained quotient (193).
  193 ÷ 193 = 1

So, the prime factorization of 2509 is, 2509 = 13 x 193.

Steps to find Prime Factors of 2509 by Factor Tree Method

We can follow the same procedure using the factor tree of 2509 as shown below:

So, the prime factorization of 2509 is, 2509 = 13 x 193.

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 2509 are 13 x 193.

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 2509 but not a prime factor of 2509.

Frequently Asked Questions

• Which is the smallest prime factor of 2509?

  Smallest prime factor of 2509 is 13.

• Is 2509 a perfect square?

  No 2509 is not a perfect square.

• What is the prime factorization of 2509?

  Prime factorization of 2509 is 13 x 193.

• What are the factors of 2509?

  Factors of 2509 are 1 , 13 , 193 , 2509.

• What is prime factorization of 2509 in exponential form?

  Prime factorization of 2509 in exponential form is 13 x 193.

• Is 2509 a prime number or a composite number?

  2509 is a composite number.

• Is 2509 a prime number?

  false, 2509 is not a prime number.

• How to find prime factorization of 2509 easily?

  To find prime factorization of 2509 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2509?

  The largest prime factor of 2509 is 193.