Prime Factors of 16575

Steps to find Prime Factors of 16575 by Division Method

To find the primefactors of 16575 using the division method, follow these steps:

• Step 1. Start dividing 16575 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 16575, which is 3. Divide 16575 by 3 to obtain the quotient (5525).
  16575 ÷ 3 = 5525
• Step 3. Repeat step 1 with the obtained quotient (5525).
  5525 ÷ 5 = 1105
  1105 ÷ 5 = 221
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 16575 is, 16575 = 3 x 5 x 5 x 13 x 17.

Steps to find Prime Factors of 16575 by Factor Tree Method

We can follow the same procedure using the factor tree of 16575 as shown below:

So, the prime factorization of 16575 is, 16575 = 3 x 5 x 5 x 13 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 16575 are 3 x 5 x 5 x 13 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 16575 but not a prime factor of 16575.

Frequently Asked Questions

• Which is the smallest prime factor of 16575?

  Smallest prime factor of 16575 is 3.

• What are the factors of 16575?

  Factors of 16575 are 1 , 3 , 5 , 13 , 15 , 17 , 25 , 39 , 51 , 65 , 75 , 85 , 195 , 221 , 255 , 325 , 425 , 663 , 975 , 1105 , 1275 , 3315 , 5525 , 16575.

• What is prime factorization of 16575 in exponential form?

  Prime factorization of 16575 in exponential form is 3 x 5² x 13 x 17.

• Is 16575 a prime number or a composite number?

  16575 is a composite number.

• Is 16575 a prime number?

  false, 16575 is not a prime number.

• What is the sum of all prime factors of 16575?

  Prime factors of 16575 are 3 x 5 x 5 x 13 x 17. Therefore, their sum is 43.

• What is the product of all prime factors of 16575?

  Prime factors of 16575 are 3 x 5 x 5 x 13 x 17. Therefore, their product is 16575.

• What numbers are the prime factors of 16575?

  Prime factors of 16575 are 3 , 5 , 5 , 13 , 17.

• What is the sum of all odd prime factors of 16575?

  Prime factors of 16575 are 3 , 5 , 5 , 13 , 17, out of which 3 , 5 , 5 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 16575 is 3 + 5 + 5 + 13 + 17 = 43.