Steps to find Prime Factors of 195 by Division Method

To find the primefactors of 195 using the division method, follow these steps:

  • Step 1. Start dividing 195 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 195, which is 3. Divide 195 by 3 to obtain the quotient (65).
    195 ÷ 3 = 65
  • Step 3. Repeat step 1 with the obtained quotient (65).
    65 ÷ 5 = 13
    13 ÷ 13 = 1

So, the prime factorization of 195 is, 195 = 3 x 5 x 13.

Steps to find Prime Factors of 195 by Factor Tree Method

We can follow the same procedure using the factor tree of 195 as shown below:

So, the prime factorization of 195 is, 195 = 3 x 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 195 are 3 x 5 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 195 but not a prime factor of 195.

Frequently Asked Questions

  • Which is the smallest prime factor of 195?

    Smallest prime factor of 195 is 3.

  • Is 195 a perfect square?

    No 195 is not a perfect square.

  • What is the prime factorization of 195?

    Prime factorization of 195 is 3 x 5 x 13.

  • What is prime factorization of 195 in exponential form?

    Prime factorization of 195 in exponential form is 3 x 5 x 13.

  • Is 195 a prime number?

    false, 195 is not a prime number.

  • Which is the largest prime factors of 195?

    The largest prime factor of 195 is 13.

  • What is the product of all prime factors of 195?

    Prime factors of 195 are 3 x 5 x 13. Therefore, their product is 195.

  • What is the sum of all odd prime factors of 195?

    Prime factors of 195 are 3 , 5 , 13, out of which 3 , 5 , 13 are odd numbers. So, the sum of odd prime factors of 195 is 3 + 5 + 13 = 21.

  • What is the product of all odd prime factors of 195?

    Prime factors of 195 are 3 , 5 , 13, out of which 3 , 5 , 13 are odd numbers. So, the product of odd prime factors of 195 is 3 x 5 x 13 = 195.