Prime Factors of 9375

Steps to find Prime Factors of 9375 by Division Method

To find the primefactors of 9375 using the division method, follow these steps:

• Step 1. Start dividing 9375 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 9375, which is 3. Divide 9375 by 3 to obtain the quotient (3125).
  9375 ÷ 3 = 3125
• Step 3. Repeat step 1 with the obtained quotient (3125).
  3125 ÷ 5 = 625
  625 ÷ 5 = 125
  125 ÷ 5 = 25
  25 ÷ 5 = 5
  5 ÷ 5 = 1

So, the prime factorization of 9375 is, 9375 = 3 x 5 x 5 x 5 x 5 x 5.

Steps to find Prime Factors of 9375 by Factor Tree Method

We can follow the same procedure using the factor tree of 9375 as shown below:

So, the prime factorization of 9375 is, 9375 = 3 x 5 x 5 x 5 x 5 x 5.

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 9375 are 3 x 5 x 5 x 5 x 5 x 5.

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 9375 but not a prime factor of 9375.

Frequently Asked Questions

• Which is the smallest prime factor of 9375?

  Smallest prime factor of 9375 is 3.

• What are the factors of 9375?

  Factors of 9375 are 1 , 3 , 5 , 15 , 25 , 75 , 125 , 375 , 625 , 1875 , 3125 , 9375.

• What is prime factorization of 9375 in exponential form?

  Prime factorization of 9375 in exponential form is 3 x 5⁵.

• Is 9375 a prime number or a composite number?

  9375 is a composite number.

• Is 9375 a prime number?

  false, 9375 is not a prime number.

• What is the sum of all prime factors of 9375?

  Prime factors of 9375 are 3 x 5 x 5 x 5 x 5 x 5. Therefore, their sum is 28.

• What is the product of all prime factors of 9375?

  Prime factors of 9375 are 3 x 5 x 5 x 5 x 5 x 5. Therefore, their product is 9375.

• What numbers are the prime factors of 9375?

  Prime factors of 9375 are 3 , 5 , 5 , 5 , 5 , 5.

• What is the sum of all odd prime factors of 9375?

  Prime factors of 9375 are 3 , 5 , 5 , 5 , 5 , 5, out of which 3 , 5 , 5 , 5 , 5 , 5 are odd numbers. So, the sum of odd prime factors of 9375 is 3 + 5 + 5 + 5 + 5 + 5 = 28.