Steps to find Prime Factors of 8625 by Division Method

To find the primefactors of 8625 using the division method, follow these steps:

  • Step 1. Start dividing 8625 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 8625, which is 3. Divide 8625 by 3 to obtain the quotient (2875).
    8625 ÷ 3 = 2875
  • Step 3. Repeat step 1 with the obtained quotient (2875).
    2875 ÷ 5 = 575
    575 ÷ 5 = 115
    115 ÷ 5 = 23
    23 ÷ 23 = 1

So, the prime factorization of 8625 is, 8625 = 3 x 5 x 5 x 5 x 23.

Steps to find Prime Factors of 8625 by Factor Tree Method

We can follow the same procedure using the factor tree of 8625 as shown below:

So, the prime factorization of 8625 is, 8625 = 3 x 5 x 5 x 5 x 23.

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 8625 are 3 x 5 x 5 x 5 x 23.

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 8625 but not a prime factor of 8625.

Frequently Asked Questions

  • Which is the smallest prime factor of 8625?

    Smallest prime factor of 8625 is 3.

  • What is the prime factorization of 8625?

    Prime factorization of 8625 is 3 x 5 x 5 x 5 x 23.

  • What is prime factorization of 8625 in exponential form?

    Prime factorization of 8625 in exponential form is 3 x 53 x 23.

  • Is 8625 a prime number or a composite number?

    8625 is a composite number.

  • Is 8625 a prime number?

    false, 8625 is not a prime number.

  • How to find prime factorization of 8625 easily?

    To find prime factorization of 8625 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 8625?

    The largest prime factor of 8625 is 23.

  • What is the product of all prime factors of 8625?

    Prime factors of 8625 are 3 x 5 x 5 x 5 x 23. Therefore, their product is 8625.

  • What is the sum of all odd prime factors of 8625?

    Prime factors of 8625 are 3 , 5 , 5 , 5 , 23, out of which 3 , 5 , 5 , 5 , 23 are odd numbers. So, the sum of odd prime factors of 8625 is 3 + 5 + 5 + 5 + 23 = 41.