# Prime Factors of 923

Prime Factors of 923 are 13 and 71

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

 1.   Prime Factorization of 923 by Division Method 2.   Prime Factorization of 923 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 923 by Division Method

To find the primefactors of 923 using the division method, follow these steps:

• Step 1. Start dividing 923 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 923, which is 13. Divide 923 by 13 to obtain the quotient (71).
923 ÷ 13 = 71
• Step 3. Repeat step 1 with the obtained quotient (71).
71 ÷ 71 = 1

So, the prime factorization of 923 is, 923 = 13 x 71.

#### Steps to find Prime Factors of 923 by Factor Tree Method

We can follow the same procedure using the factor tree of 923 as shown below:

So, the prime factorization of 923 is, 923 = 13 x 71.

#### 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 923 are 13 x 71.

#### 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 923 but not a prime factor of 923.

• Which is the smallest prime factor of 923?

Smallest prime factor of 923 is 13.

• Is 923 a perfect square?

No 923 is not a perfect square.

• What is the prime factorization of 923?

Prime factorization of 923 is 13 x 71.

• What is prime factorization of 923 in exponential form?

Prime factorization of 923 in exponential form is 13 x 71.

• Is 923 a prime number?

false, 923 is not a prime number.

• Which is the largest prime factors of 923?

The largest prime factor of 923 is 71.

• What is the product of all prime factors of 923?

Prime factors of 923 are 13 x 71. Therefore, their product is 923.

• What is the sum of all odd prime factors of 923?

Prime factors of 923 are 13 , 71, out of which 13 , 71 are odd numbers. So, the sum of odd prime factors of 923 is 13 + 71 = 84.

• What is the product of all odd prime factors of 923?

Prime factors of 923 are 13 , 71, out of which 13 , 71 are odd numbers. So, the product of odd prime factors of 923 is 13 x 71 = 923.