Prime Factors of 11475

Steps to find Prime Factors of 11475 by Division Method

To find the primefactors of 11475 using the division method, follow these steps:

• Step 1. Start dividing 11475 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 11475, which is 3. Divide 11475 by 3 to obtain the quotient (3825).
  11475 ÷ 3 = 3825
• Step 3. Repeat step 1 with the obtained quotient (3825).
  3825 ÷ 3 = 1275
  1275 ÷ 3 = 425
  425 ÷ 5 = 85
  85 ÷ 5 = 17
  17 ÷ 17 = 1

So, the prime factorization of 11475 is, 11475 = 3 x 3 x 3 x 5 x 5 x 17.

Steps to find Prime Factors of 11475 by Factor Tree Method

We can follow the same procedure using the factor tree of 11475 as shown below:

So, the prime factorization of 11475 is, 11475 = 3 x 3 x 3 x 5 x 5 x 17.

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 11475 are 3 x 3 x 3 x 5 x 5 x 17.

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 11475 but not a prime factor of 11475.

Frequently Asked Questions

• Which is the smallest prime factor of 11475?

  Smallest prime factor of 11475 is 3.

• Is 11475 a perfect square?

  No 11475 is not a perfect square.

• What is the prime factorization of 11475?

  Prime factorization of 11475 is 3 x 3 x 3 x 5 x 5 x 17.

• What is prime factorization of 11475 in exponential form?

  Prime factorization of 11475 in exponential form is 3³ x 5² x 17.

• Is 11475 a prime number?

  false, 11475 is not a prime number.

• Which is the largest prime factors of 11475?

  The largest prime factor of 11475 is 17.

• What is the product of all prime factors of 11475?

  Prime factors of 11475 are 3 x 3 x 3 x 5 x 5 x 17. Therefore, their product is 11475.

• What is the sum of all odd prime factors of 11475?

  Prime factors of 11475 are 3 , 3 , 3 , 5 , 5 , 17, out of which 3 , 3 , 3 , 5 , 5 , 17 are odd numbers. So, the sum of odd prime factors of 11475 is 3 + 3 + 3 + 5 + 5 + 17 = 36.

• What is the product of all odd prime factors of 11475?

  Prime factors of 11475 are 3 , 3 , 3 , 5 , 5 , 17, out of which 3 , 3 , 3 , 5 , 5 , 17 are odd numbers. So, the product of odd prime factors of 11475 is 3 x 3 x 3 x 5 x 5 x 17 = 11475.