Prime Factors of 2535

Steps to find Prime Factors of 2535 by Division Method

To find the primefactors of 2535 using the division method, follow these steps:

• Step 1. Start dividing 2535 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 2535, which is 3. Divide 2535 by 3 to obtain the quotient (845).
  2535 ÷ 3 = 845
• Step 3. Repeat step 1 with the obtained quotient (845).
  845 ÷ 5 = 169
  169 ÷ 13 = 13
  13 ÷ 13 = 1

So, the prime factorization of 2535 is, 2535 = 3 x 5 x 13 x 13.

Steps to find Prime Factors of 2535 by Factor Tree Method

We can follow the same procedure using the factor tree of 2535 as shown below:

So, the prime factorization of 2535 is, 2535 = 3 x 5 x 13 x 13.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 2535 are 3 x 5 x 13 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 2535 but not a prime factor of 2535.

Frequently Asked Questions

• Which is the smallest prime factor of 2535?

  Smallest prime factor of 2535 is 3.

• What are the factors of 2535?

  Factors of 2535 are 1 , 3 , 5 , 13 , 15 , 39 , 65 , 169 , 195 , 507 , 845 , 2535.

• What is prime factorization of 2535 in exponential form?

  Prime factorization of 2535 in exponential form is 3 x 5 x 13².

• Is 2535 a prime number or a composite number?

  2535 is a composite number.

• Is 2535 a prime number?

  false, 2535 is not a prime number.

• What is the sum of all prime factors of 2535?

  Prime factors of 2535 are 3 x 5 x 13 x 13. Therefore, their sum is 34.

• What is the product of all prime factors of 2535?

  Prime factors of 2535 are 3 x 5 x 13 x 13. Therefore, their product is 2535.

• What numbers are the prime factors of 2535?

  Prime factors of 2535 are 3 , 5 , 13 , 13.

• What is the sum of all odd prime factors of 2535?

  Prime factors of 2535 are 3 , 5 , 13 , 13, out of which 3 , 5 , 13 , 13 are odd numbers. So, the sum of odd prime factors of 2535 is 3 + 5 + 13 + 13 = 34.