Prime Factors of 323

Steps to find Prime Factors of 323 by Division Method

To find the primefactors of 323 using the division method, follow these steps:

• Step 1. Start dividing 323 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 323, which is 17. Divide 323 by 17 to obtain the quotient (19).
  323 ÷ 17 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
  19 ÷ 19 = 1

So, the prime factorization of 323 is, 323 = 17 x 19.

Steps to find Prime Factors of 323 by Factor Tree Method

We can follow the same procedure using the factor tree of 323 as shown below:

So, the prime factorization of 323 is, 323 = 17 x 19.

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 323 are 17 x 19.

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 323 but not a prime factor of 323.

Frequently Asked Questions

• Which is the smallest prime factor of 323?

  Smallest prime factor of 323 is 17.

• Is 323 a perfect square?

  No 323 is not a perfect square.

• What is the prime factorization of 323?

  Prime factorization of 323 is 17 x 19.

• What is prime factorization of 323 in exponential form?

  Prime factorization of 323 in exponential form is 17 x 19.

• Is 323 a prime number?

  false, 323 is not a prime number.

• Which is the largest prime factors of 323?

  The largest prime factor of 323 is 19.

• What is the product of all prime factors of 323?

  Prime factors of 323 are 17 x 19. Therefore, their product is 323.

• What is the sum of all odd prime factors of 323?

  Prime factors of 323 are 17 , 19, out of which 17 , 19 are odd numbers. So, the sum of odd prime factors of 323 is 17 + 19 = 36.

• What is the product of all odd prime factors of 323?

  Prime factors of 323 are 17 , 19, out of which 17 , 19 are odd numbers. So, the product of odd prime factors of 323 is 17 x 19 = 323.