Prime Factors of 9276

Steps to find Prime Factors of 9276 by Division Method

To find the primefactors of 9276 using the division method, follow these steps:

• Step 1. Start dividing 9276 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 9276, which is 2. Divide 9276 by 2 to obtain the quotient (4638).
  9276 ÷ 2 = 4638
• Step 3. Repeat step 1 with the obtained quotient (4638).
  4638 ÷ 2 = 2319
  2319 ÷ 3 = 773
  773 ÷ 773 = 1

So, the prime factorization of 9276 is, 9276 = 2 x 2 x 3 x 773.

Steps to find Prime Factors of 9276 by Factor Tree Method

We can follow the same procedure using the factor tree of 9276 as shown below:

So, the prime factorization of 9276 is, 9276 = 2 x 2 x 3 x 773.

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 9276 are 2 x 2 x 3 x 773.

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 9276 but not a prime factor of 9276.

Frequently Asked Questions

• Which is the smallest prime factor of 9276?

  Smallest prime factor of 9276 is 2.

• What is the prime factorization of 9276?

  Prime factorization of 9276 is 2 x 2 x 3 x 773.

• What are the factors of 9276?

  Factors of 9276 are 1 , 2 , 3 , 4 , 6 , 12 , 773 , 1546 , 2319 , 3092 , 4638 , 9276.

• Is 9276 a prime number or a composite number?

  9276 is a composite number.

• Is 9276 a prime number?

  false, 9276 is not a prime number.

• Which is the largest prime factors of 9276?

  The largest prime factor of 9276 is 773.

• What is the sum of all prime factors of 9276?

  Prime factors of 9276 are 2 x 2 x 3 x 773. Therefore, their sum is 780.

• What numbers are the prime factors of 9276?

  Prime factors of 9276 are 2 , 2 , 3 , 773.

• What is the sum of all odd prime factors of 9276?

  Prime factors of 9276 are 2 , 2 , 3 , 773, out of which 3 , 773 are odd numbers. So, the sum of odd prime factors of 9276 is 3 + 773 = 776.