Prime Factors of 17017

Steps to find Prime Factors of 17017 by Division Method

To find the primefactors of 17017 using the division method, follow these steps:

• Step 1. Start dividing 17017 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 17017, which is 7. Divide 17017 by 7 to obtain the quotient (2431).
  17017 ÷ 7 = 2431
• Step 3. Repeat step 1 with the obtained quotient (2431).
  2431 ÷ 11 = 221
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 17017 is, 17017 = 7 x 11 x 13 x 17.

Steps to find Prime Factors of 17017 by Factor Tree Method

We can follow the same procedure using the factor tree of 17017 as shown below:

So, the prime factorization of 17017 is, 17017 = 7 x 11 x 13 x 17.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 17017 are 7 x 11 x 13 x 17.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 17017 but not a prime factor of 17017.

Frequently Asked Questions

• Which is the smallest prime factor of 17017?

  Smallest prime factor of 17017 is 7.

• What is the prime factorization of 17017?

  Prime factorization of 17017 is 7 x 11 x 13 x 17.

• What is prime factorization of 17017 in exponential form?

  Prime factorization of 17017 in exponential form is 7 x 11 x 13 x 17.

• Is 17017 a prime number or a composite number?

  17017 is a composite number.

• Is 17017 a prime number?

  false, 17017 is not a prime number.

• How to find prime factorization of 17017 easily?

  To find prime factorization of 17017 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 17017?

  The largest prime factor of 17017 is 17.

• What is the product of all prime factors of 17017?

  Prime factors of 17017 are 7 x 11 x 13 x 17. Therefore, their product is 17017.

• What is the sum of all odd prime factors of 17017?

  Prime factors of 17017 are 7 , 11 , 13 , 17, out of which 7 , 11 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 17017 is 7 + 11 + 13 + 17 = 48.