Steps to find Prime Factors of 845 by Division Method

To find the primefactors of 845 using the division method, follow these steps:

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

So, the prime factorization of 845 is, 845 = 5 x 13 x 13.

Steps to find Prime Factors of 845 by Factor Tree Method

We can follow the same procedure using the factor tree of 845 as shown below:

So, the prime factorization of 845 is, 845 = 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 845 are 5 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 845 but not a prime factor of 845.

Frequently Asked Questions

  • Which is the smallest prime factor of 845?

    Smallest prime factor of 845 is 5.

  • Is 845 a perfect square?

    No 845 is not a perfect square.

  • What is the prime factorization of 845?

    Prime factorization of 845 is 5 x 13 x 13.

  • What are the factors of 845?

    Factors of 845 are 1 , 5 , 13 , 65 , 169 , 845.

  • What is prime factorization of 845 in exponential form?

    Prime factorization of 845 in exponential form is 5 x 132.

  • Is 845 a prime number or a composite number?

    845 is a composite number.

  • Is 845 a prime number?

    false, 845 is not a prime number.

  • How to find prime factorization of 845 easily?

    To find prime factorization of 845 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 845?

    The largest prime factor of 845 is 13.