Prime Factors of 9951

Steps to find Prime Factors of 9951 by Division Method

To find the primefactors of 9951 using the division method, follow these steps:

• Step 1. Start dividing 9951 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 9951, which is 3. Divide 9951 by 3 to obtain the quotient (3317).
  9951 ÷ 3 = 3317
• Step 3. Repeat step 1 with the obtained quotient (3317).
  3317 ÷ 31 = 107
  107 ÷ 107 = 1

So, the prime factorization of 9951 is, 9951 = 3 x 31 x 107.

Steps to find Prime Factors of 9951 by Factor Tree Method

We can follow the same procedure using the factor tree of 9951 as shown below:

So, the prime factorization of 9951 is, 9951 = 3 x 31 x 107.

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 9951 are 3 x 31 x 107.

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 9951 but not a prime factor of 9951.

Frequently Asked Questions

• Which is the smallest prime factor of 9951?

  Smallest prime factor of 9951 is 3.

• What are the factors of 9951?

  Factors of 9951 are 1 , 3 , 31 , 93 , 107 , 321 , 3317 , 9951.

• What is prime factorization of 9951 in exponential form?

  Prime factorization of 9951 in exponential form is 3 x 31 x 107.

• Is 9951 a prime number or a composite number?

  9951 is a composite number.

• Is 9951 a prime number?

  false, 9951 is not a prime number.

• What is the sum of all prime factors of 9951?

  Prime factors of 9951 are 3 x 31 x 107. Therefore, their sum is 141.

• What is the product of all prime factors of 9951?

  Prime factors of 9951 are 3 x 31 x 107. Therefore, their product is 9951.

• What numbers are the prime factors of 9951?

  Prime factors of 9951 are 3 , 31 , 107.

• What is the sum of all odd prime factors of 9951?

  Prime factors of 9951 are 3 , 31 , 107, out of which 3 , 31 , 107 are odd numbers. So, the sum of odd prime factors of 9951 is 3 + 31 + 107 = 141.