Prime Factors of 12375

Steps to find Prime Factors of 12375 by Division Method

To find the primefactors of 12375 using the division method, follow these steps:

• Step 1. Start dividing 12375 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 12375, which is 3. Divide 12375 by 3 to obtain the quotient (4125).
  12375 ÷ 3 = 4125
• Step 3. Repeat step 1 with the obtained quotient (4125).
  4125 ÷ 3 = 1375
  1375 ÷ 5 = 275
  275 ÷ 5 = 55
  55 ÷ 5 = 11
  11 ÷ 11 = 1

So, the prime factorization of 12375 is, 12375 = 3 x 3 x 5 x 5 x 5 x 11.

Steps to find Prime Factors of 12375 by Factor Tree Method

We can follow the same procedure using the factor tree of 12375 as shown below:

So, the prime factorization of 12375 is, 12375 = 3 x 3 x 5 x 5 x 5 x 11.

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 12375 are 3 x 3 x 5 x 5 x 5 x 11.

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 12375 but not a prime factor of 12375.

Frequently Asked Questions

• Which is the smallest prime factor of 12375?

  Smallest prime factor of 12375 is 3.

• What are the factors of 12375?

  Factors of 12375 are 1 , 3 , 5 , 9 , 11 , 15 , 25 , 33 , 45 , 55 , 75 , 99 , 125 , 165 , 225 , 275 , 375 , 495 , 825 , 1125 , 1375 , 2475 , 4125 , 12375.

• What is prime factorization of 12375 in exponential form?

  Prime factorization of 12375 in exponential form is 3² x 5³ x 11.

• Is 12375 a prime number or a composite number?

  12375 is a composite number.

• Is 12375 a prime number?

  false, 12375 is not a prime number.

• What is the sum of all prime factors of 12375?

  Prime factors of 12375 are 3 x 3 x 5 x 5 x 5 x 11. Therefore, their sum is 32.

• What is the product of all prime factors of 12375?

  Prime factors of 12375 are 3 x 3 x 5 x 5 x 5 x 11. Therefore, their product is 12375.

• What numbers are the prime factors of 12375?

  Prime factors of 12375 are 3 , 3 , 5 , 5 , 5 , 11.

• What is the sum of all odd prime factors of 12375?

  Prime factors of 12375 are 3 , 3 , 5 , 5 , 5 , 11, out of which 3 , 3 , 5 , 5 , 5 , 11 are odd numbers. So, the sum of odd prime factors of 12375 is 3 + 3 + 5 + 5 + 5 + 11 = 32.