Prime Factors of 65

Steps to find Prime Factors of 65 by Division Method

To find the primefactors of 65 using the division method, follow these steps:

• Step 1. Start dividing 65 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 65, which is 5. Divide 65 by 5 to obtain the quotient (13).
  65 ÷ 5 = 13
• Step 3. Repeat step 1 with the obtained quotient (13).
  13 ÷ 13 = 1

So, the prime factorization of 65 is, 65 = 5 x 13.

Steps to find Prime Factors of 65 by Factor Tree Method

We can follow the same procedure using the factor tree of 65 as shown below:

So, the prime factorization of 65 is, 65 = 5 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 65 are 5 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 65 but not a prime factor of 65.

Frequently Asked Questions

• Which is the smallest prime factor of 65?

  Smallest prime factor of 65 is 5.

• What is the prime factorization of 65?

  Prime factorization of 65 is 5 x 13.

• What is prime factorization of 65 in exponential form?

  Prime factorization of 65 in exponential form is 5 x 13.

• Is 65 a prime number or a composite number?

  65 is a composite number.

• Is 65 a prime number?

  false, 65 is not a prime number.

• How to find prime factorization of 65 easily?

  To find prime factorization of 65 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 65?

  The largest prime factor of 65 is 13.

• What is the product of all prime factors of 65?

  Prime factors of 65 are 5 x 13. Therefore, their product is 65.

• What is the sum of all odd prime factors of 65?

  Prime factors of 65 are 5 , 13, out of which 5 , 13 are odd numbers. So, the sum of odd prime factors of 65 is 5 + 13 = 18.