# Prime Factors of 12393

Prime Factors of 12393 are 3, 3, 3, 3, 3, 3, and 17

#### How to find prime factors of a number

 1.   Prime Factorization of 12393 by Division Method 2.   Prime Factorization of 12393 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 12393 by Division Method

To find the primefactors of 12393 using the division method, follow these steps:

• Step 1. Start dividing 12393 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 12393, which is 3. Divide 12393 by 3 to obtain the quotient (4131).
12393 ÷ 3 = 4131
• Step 3. Repeat step 1 with the obtained quotient (4131).
4131 ÷ 3 = 1377
1377 ÷ 3 = 459
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1

So, the prime factorization of 12393 is, 12393 = 3 x 3 x 3 x 3 x 3 x 3 x 17.

#### Steps to find Prime Factors of 12393 by Factor Tree Method

We can follow the same procedure using the factor tree of 12393 as shown below:

So, the prime factorization of 12393 is, 12393 = 3 x 3 x 3 x 3 x 3 x 3 x 17.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 12393 are 3 x 3 x 3 x 3 x 3 x 3 x 17.

#### 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 12393 but not a prime factor of 12393.

• Which is the smallest prime factor of 12393?

Smallest prime factor of 12393 is 3.

• What is the prime factorization of 12393?

Prime factorization of 12393 is 3 x 3 x 3 x 3 x 3 x 3 x 17.

• What is prime factorization of 12393 in exponential form?

Prime factorization of 12393 in exponential form is 36 x 17.

• Is 12393 a prime number or a composite number?

12393 is a composite number.

• Is 12393 a prime number?

false, 12393 is not a prime number.

• How to find prime factorization of 12393 easily?

To find prime factorization of 12393 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 12393?

The largest prime factor of 12393 is 17.

• What is the product of all prime factors of 12393?

Prime factors of 12393 are 3 x 3 x 3 x 3 x 3 x 3 x 17. Therefore, their product is 12393.

• What is the sum of all odd prime factors of 12393?

Prime factors of 12393 are 3 , 3 , 3 , 3 , 3 , 3 , 17, out of which 3 , 3 , 3 , 3 , 3 , 3 , 17 are odd numbers. So, the sum of odd prime factors of 12393 is 3 + 3 + 3 + 3 + 3 + 3 + 17 = 35.