Prime Factors of 9879

Steps to find Prime Factors of 9879 by Division Method

To find the primefactors of 9879 using the division method, follow these steps:

• Step 1. Start dividing 9879 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 9879, which is 3. Divide 9879 by 3 to obtain the quotient (3293).
  9879 ÷ 3 = 3293
• Step 3. Repeat step 1 with the obtained quotient (3293).
  3293 ÷ 37 = 89
  89 ÷ 89 = 1

So, the prime factorization of 9879 is, 9879 = 3 x 37 x 89.

Steps to find Prime Factors of 9879 by Factor Tree Method

We can follow the same procedure using the factor tree of 9879 as shown below:

So, the prime factorization of 9879 is, 9879 = 3 x 37 x 89.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 9879 are 3 x 37 x 89.

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 9879 but not a prime factor of 9879.

Frequently Asked Questions

• Which is the smallest prime factor of 9879?

  Smallest prime factor of 9879 is 3.

• What are the factors of 9879?

  Factors of 9879 are 1 , 3 , 37 , 89 , 111 , 267 , 3293 , 9879.

• What is prime factorization of 9879 in exponential form?

  Prime factorization of 9879 in exponential form is 3 x 37 x 89.

• Is 9879 a prime number or a composite number?

  9879 is a composite number.

• Is 9879 a prime number?

  false, 9879 is not a prime number.

• What is the sum of all prime factors of 9879?

  Prime factors of 9879 are 3 x 37 x 89. Therefore, their sum is 129.

• What is the product of all prime factors of 9879?

  Prime factors of 9879 are 3 x 37 x 89. Therefore, their product is 9879.

• What numbers are the prime factors of 9879?

  Prime factors of 9879 are 3 , 37 , 89.

• What is the sum of all odd prime factors of 9879?

  Prime factors of 9879 are 3 , 37 , 89, out of which 3 , 37 , 89 are odd numbers. So, the sum of odd prime factors of 9879 is 3 + 37 + 89 = 129.