Prime Factors of 9876

Steps to find Prime Factors of 9876 by Division Method

To find the primefactors of 9876 using the division method, follow these steps:

• Step 1. Start dividing 9876 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 9876, which is 2. Divide 9876 by 2 to obtain the quotient (4938).
  9876 ÷ 2 = 4938
• Step 3. Repeat step 1 with the obtained quotient (4938).
  4938 ÷ 2 = 2469
  2469 ÷ 3 = 823
  823 ÷ 823 = 1

So, the prime factorization of 9876 is, 9876 = 2 x 2 x 3 x 823.

Steps to find Prime Factors of 9876 by Factor Tree Method

We can follow the same procedure using the factor tree of 9876 as shown below:

So, the prime factorization of 9876 is, 9876 = 2 x 2 x 3 x 823.

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 9876 are 2 x 2 x 3 x 823.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 9876 but not a prime factor of 9876.

Frequently Asked Questions

• Which is the smallest prime factor of 9876?

  Smallest prime factor of 9876 is 2.

• What is the prime factorization of 9876?

  Prime factorization of 9876 is 2 x 2 x 3 x 823.

• What are the factors of 9876?

  Factors of 9876 are 1 , 2 , 3 , 4 , 6 , 12 , 823 , 1646 , 2469 , 3292 , 4938 , 9876.

• Is 9876 a prime number or a composite number?

  9876 is a composite number.

• Is 9876 a prime number?

  false, 9876 is not a prime number.

• Which is the largest prime factors of 9876?

  The largest prime factor of 9876 is 823.

• What is the sum of all prime factors of 9876?

  Prime factors of 9876 are 2 x 2 x 3 x 823. Therefore, their sum is 830.

• What numbers are the prime factors of 9876?

  Prime factors of 9876 are 2 , 2 , 3 , 823.

• What is the sum of all odd prime factors of 9876?

  Prime factors of 9876 are 2 , 2 , 3 , 823, out of which 3 , 823 are odd numbers. So, the sum of odd prime factors of 9876 is 3 + 823 = 826.