Prime Factors of 12321

Steps to find Prime Factors of 12321 by Division Method

To find the primefactors of 12321 using the division method, follow these steps:

• Step 1. Start dividing 12321 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 12321, which is 3. Divide 12321 by 3 to obtain the quotient (4107).
  12321 ÷ 3 = 4107
• Step 3. Repeat step 1 with the obtained quotient (4107).
  4107 ÷ 3 = 1369
  1369 ÷ 37 = 37
  37 ÷ 37 = 1

So, the prime factorization of 12321 is, 12321 = 3 x 3 x 37 x 37.

Steps to find Prime Factors of 12321 by Factor Tree Method

We can follow the same procedure using the factor tree of 12321 as shown below:

So, the prime factorization of 12321 is, 12321 = 3 x 3 x 37 x 37.

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 12321 are 3 x 3 x 37 x 37.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 12321 but not a prime factor of 12321.

Frequently Asked Questions

• Which is the smallest prime factor of 12321?

  Smallest prime factor of 12321 is 3.

• What is the prime factorization of 12321?

  Prime factorization of 12321 is 3 x 3 x 37 x 37.

• What is prime factorization of 12321 in exponential form?

  Prime factorization of 12321 in exponential form is 3² x 37².

• Is 12321 a prime number or a composite number?

  12321 is a composite number.

• Is 12321 a prime number?

  false, 12321 is not a prime number.

• How to find prime factorization of 12321 easily?

  To find prime factorization of 12321 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 12321?

  The largest prime factor of 12321 is 37.

• What is the product of all prime factors of 12321?

  Prime factors of 12321 are 3 x 3 x 37 x 37. Therefore, their product is 12321.

• What is the sum of all odd prime factors of 12321?

  Prime factors of 12321 are 3 , 3 , 37 , 37, out of which 3 , 3 , 37 , 37 are odd numbers. So, the sum of odd prime factors of 12321 is 3 + 3 + 37 + 37 = 80.