Prime Factors of 9317

Steps to find Prime Factors of 9317 by Division Method

To find the primefactors of 9317 using the division method, follow these steps:

• Step 1. Start dividing 9317 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 9317, which is 7. Divide 9317 by 7 to obtain the quotient (1331).
  9317 ÷ 7 = 1331
• Step 3. Repeat step 1 with the obtained quotient (1331).
  1331 ÷ 11 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 9317 is, 9317 = 7 x 11 x 11 x 11.

Steps to find Prime Factors of 9317 by Factor Tree Method

We can follow the same procedure using the factor tree of 9317 as shown below:

So, the prime factorization of 9317 is, 9317 = 7 x 11 x 11 x 11.

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 9317 are 7 x 11 x 11 x 11.

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 9317 but not a prime factor of 9317.

Frequently Asked Questions

• Which is the smallest prime factor of 9317?

  Smallest prime factor of 9317 is 7.

• Is 9317 a perfect square?

  No 9317 is not a perfect square.

• What is the prime factorization of 9317?

  Prime factorization of 9317 is 7 x 11 x 11 x 11.

• What are the factors of 9317?

  Factors of 9317 are 1 , 7 , 11 , 77 , 121 , 847 , 1331 , 9317.

• What is prime factorization of 9317 in exponential form?

  Prime factorization of 9317 in exponential form is 7 x 11³.

• Is 9317 a prime number or a composite number?

  9317 is a composite number.

• Is 9317 a prime number?

  false, 9317 is not a prime number.

• How to find prime factorization of 9317 easily?

  To find prime factorization of 9317 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 9317?

  The largest prime factor of 9317 is 11.