Prime Factors of 9991

Steps to find Prime Factors of 9991 by Division Method

To find the primefactors of 9991 using the division method, follow these steps:

• Step 1. Start dividing 9991 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 9991, which is 97. Divide 9991 by 97 to obtain the quotient (103).
  9991 ÷ 97 = 103
• Step 3. Repeat step 1 with the obtained quotient (103).
  103 ÷ 103 = 1

So, the prime factorization of 9991 is, 9991 = 97 x 103.

Steps to find Prime Factors of 9991 by Factor Tree Method

We can follow the same procedure using the factor tree of 9991 as shown below:

So, the prime factorization of 9991 is, 9991 = 97 x 103.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 9991 are 97 x 103.

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 9991 but not a prime factor of 9991.

Frequently Asked Questions

• Which is the smallest prime factor of 9991?

  Smallest prime factor of 9991 is 97.

• What are the factors of 9991?

  Factors of 9991 are 1 , 97 , 103 , 9991.

• What is prime factorization of 9991 in exponential form?

  Prime factorization of 9991 in exponential form is 97 x 103.

• Is 9991 a prime number or a composite number?

  9991 is a composite number.

• Is 9991 a prime number?

  false, 9991 is not a prime number.

• What is the sum of all prime factors of 9991?

  Prime factors of 9991 are 97 x 103. Therefore, their sum is 200.

• What is the product of all prime factors of 9991?

  Prime factors of 9991 are 97 x 103. Therefore, their product is 9991.

• What numbers are the prime factors of 9991?

  Prime factors of 9991 are 97 , 103.

• What is the sum of all odd prime factors of 9991?

  Prime factors of 9991 are 97 , 103, out of which 97 , 103 are odd numbers. So, the sum of odd prime factors of 9991 is 97 + 103 = 200.