Prime Factors of 8775

Steps to find Prime Factors of 8775 by Division Method

To find the primefactors of 8775 using the division method, follow these steps:

• Step 1. Start dividing 8775 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 8775, which is 3. Divide 8775 by 3 to obtain the quotient (2925).
  8775 ÷ 3 = 2925
• Step 3. Repeat step 1 with the obtained quotient (2925).
  2925 ÷ 3 = 975
  975 ÷ 3 = 325
  325 ÷ 5 = 65
  65 ÷ 5 = 13
  13 ÷ 13 = 1

So, the prime factorization of 8775 is, 8775 = 3 x 3 x 3 x 5 x 5 x 13.

Steps to find Prime Factors of 8775 by Factor Tree Method

We can follow the same procedure using the factor tree of 8775 as shown below:

So, the prime factorization of 8775 is, 8775 = 3 x 3 x 3 x 5 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 8775 are 3 x 3 x 3 x 5 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 8775 but not a prime factor of 8775.

Frequently Asked Questions

• Which is the smallest prime factor of 8775?

  Smallest prime factor of 8775 is 3.

• What are the factors of 8775?

  Factors of 8775 are 1 , 3 , 5 , 9 , 13 , 15 , 25 , 27 , 39 , 45 , 65 , 75 , 117 , 135 , 195 , 225 , 325 , 351 , 585 , 675 , 975 , 1755 , 2925 , 8775.

• What is prime factorization of 8775 in exponential form?

  Prime factorization of 8775 in exponential form is 3³ x 5² x 13.

• Is 8775 a prime number or a composite number?

  8775 is a composite number.

• Is 8775 a prime number?

  false, 8775 is not a prime number.

• What is the sum of all prime factors of 8775?

  Prime factors of 8775 are 3 x 3 x 3 x 5 x 5 x 13. Therefore, their sum is 32.

• What is the product of all prime factors of 8775?

  Prime factors of 8775 are 3 x 3 x 3 x 5 x 5 x 13. Therefore, their product is 8775.

• What numbers are the prime factors of 8775?

  Prime factors of 8775 are 3 , 3 , 3 , 5 , 5 , 13.

• What is the sum of all odd prime factors of 8775?

  Prime factors of 8775 are 3 , 3 , 3 , 5 , 5 , 13, out of which 3 , 3 , 3 , 5 , 5 , 13 are odd numbers. So, the sum of odd prime factors of 8775 is 3 + 3 + 3 + 5 + 5 + 13 = 32.