Steps to find Prime Factors of 65065 by Division Method

To find the primefactors of 65065 using the division method, follow these steps:

  • Step 1. Start dividing 65065 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 65065, which is 5. Divide 65065 by 5 to obtain the quotient (13013).
    65065 ÷ 5 = 13013
  • Step 3. Repeat step 1 with the obtained quotient (13013).
    13013 ÷ 7 = 1859
    1859 ÷ 11 = 169
    169 ÷ 13 = 13
    13 ÷ 13 = 1

So, the prime factorization of 65065 is, 65065 = 5 x 7 x 11 x 13 x 13.

Steps to find Prime Factors of 65065 by Factor Tree Method

We can follow the same procedure using the factor tree of 65065 as shown below:

So, the prime factorization of 65065 is, 65065 = 5 x 7 x 11 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 65065 are 5 x 7 x 11 x 13 x 13.

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 65065 but not a prime factor of 65065.

Frequently Asked Questions

  • Which is the smallest prime factor of 65065?

    Smallest prime factor of 65065 is 5.

  • What is the prime factorization of 65065?

    Prime factorization of 65065 is 5 x 7 x 11 x 13 x 13.

  • What is prime factorization of 65065 in exponential form?

    Prime factorization of 65065 in exponential form is 5 x 7 x 11 x 132.

  • Is 65065 a prime number or a composite number?

    65065 is a composite number.

  • Is 65065 a prime number?

    false, 65065 is not a prime number.

  • How to find prime factorization of 65065 easily?

    To find prime factorization of 65065 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 65065?

    The largest prime factor of 65065 is 13.

  • What is the product of all prime factors of 65065?

    Prime factors of 65065 are 5 x 7 x 11 x 13 x 13. Therefore, their product is 65065.

  • What is the sum of all odd prime factors of 65065?

    Prime factors of 65065 are 5 , 7 , 11 , 13 , 13, out of which 5 , 7 , 11 , 13 , 13 are odd numbers. So, the sum of odd prime factors of 65065 is 5 + 7 + 11 + 13 + 13 = 49.