Prime Factors of 6825

Steps to find Prime Factors of 6825 by Division Method

To find the primefactors of 6825 using the division method, follow these steps:

• Step 1. Start dividing 6825 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 6825, which is 3. Divide 6825 by 3 to obtain the quotient (2275).
  6825 ÷ 3 = 2275
• Step 3. Repeat step 1 with the obtained quotient (2275).
  2275 ÷ 5 = 455
  455 ÷ 5 = 91
  91 ÷ 7 = 13
  13 ÷ 13 = 1

So, the prime factorization of 6825 is, 6825 = 3 x 5 x 5 x 7 x 13.

Steps to find Prime Factors of 6825 by Factor Tree Method

We can follow the same procedure using the factor tree of 6825 as shown below:

So, the prime factorization of 6825 is, 6825 = 3 x 5 x 5 x 7 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 6825 are 3 x 5 x 5 x 7 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 6825 but not a prime factor of 6825.

Frequently Asked Questions

• Which is the smallest prime factor of 6825?

  Smallest prime factor of 6825 is 3.

• What is the prime factorization of 6825?

  Prime factorization of 6825 is 3 x 5 x 5 x 7 x 13.

• What is prime factorization of 6825 in exponential form?

  Prime factorization of 6825 in exponential form is 3 x 5² x 7 x 13.

• Is 6825 a prime number or a composite number?

  6825 is a composite number.

• Is 6825 a prime number?

  false, 6825 is not a prime number.

• How to find prime factorization of 6825 easily?

  To find prime factorization of 6825 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 6825?

  The largest prime factor of 6825 is 13.

• What is the product of all prime factors of 6825?

  Prime factors of 6825 are 3 x 5 x 5 x 7 x 13. Therefore, their product is 6825.

• What is the sum of all odd prime factors of 6825?

  Prime factors of 6825 are 3 , 5 , 5 , 7 , 13, out of which 3 , 5 , 5 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 6825 is 3 + 5 + 5 + 7 + 13 = 33.