# Prime Factors of 13923

Prime Factors of 13923 are 3, 3, 7, 13, and 17

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

 1.   Prime Factorization of 13923 by Division Method 2.   Prime Factorization of 13923 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 13923 by Division Method

To find the primefactors of 13923 using the division method, follow these steps:

• Step 1. Start dividing 13923 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 13923, which is 3. Divide 13923 by 3 to obtain the quotient (4641).
13923 ÷ 3 = 4641
• Step 3. Repeat step 1 with the obtained quotient (4641).
4641 ÷ 3 = 1547
1547 ÷ 7 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1

So, the prime factorization of 13923 is, 13923 = 3 x 3 x 7 x 13 x 17.

#### Steps to find Prime Factors of 13923 by Factor Tree Method

We can follow the same procedure using the factor tree of 13923 as shown below:

So, the prime factorization of 13923 is, 13923 = 3 x 3 x 7 x 13 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 13923 are 3 x 3 x 7 x 13 x 17.

#### 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 13923 but not a prime factor of 13923.

• Which is the smallest prime factor of 13923?

Smallest prime factor of 13923 is 3.

• Is 13923 a perfect square?

No 13923 is not a perfect square.

• What is the prime factorization of 13923?

Prime factorization of 13923 is 3 x 3 x 7 x 13 x 17.

• What is prime factorization of 13923 in exponential form?

Prime factorization of 13923 in exponential form is 32 x 7 x 13 x 17.

• Is 13923 a prime number?

false, 13923 is not a prime number.

• Which is the largest prime factors of 13923?

The largest prime factor of 13923 is 17.

• What is the product of all prime factors of 13923?

Prime factors of 13923 are 3 x 3 x 7 x 13 x 17. Therefore, their product is 13923.

• What is the sum of all odd prime factors of 13923?

Prime factors of 13923 are 3 , 3 , 7 , 13 , 17, out of which 3 , 3 , 7 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 13923 is 3 + 3 + 7 + 13 + 17 = 43.

• What is the product of all odd prime factors of 13923?

Prime factors of 13923 are 3 , 3 , 7 , 13 , 17, out of which 3 , 3 , 7 , 13 , 17 are odd numbers. So, the product of odd prime factors of 13923 is 3 x 3 x 7 x 13 x 17 = 13923.