Prime Factors of 319

Steps to find Prime Factors of 319 by Division Method

To find the primefactors of 319 using the division method, follow these steps:

• Step 1. Start dividing 319 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 319, which is 11. Divide 319 by 11 to obtain the quotient (29).
  319 ÷ 11 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
  29 ÷ 29 = 1

So, the prime factorization of 319 is, 319 = 11 x 29.

Steps to find Prime Factors of 319 by Factor Tree Method

We can follow the same procedure using the factor tree of 319 as shown below:

So, the prime factorization of 319 is, 319 = 11 x 29.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 319 are 11 x 29.

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 319 but not a prime factor of 319.

Frequently Asked Questions

• Which is the smallest prime factor of 319?

  Smallest prime factor of 319 is 11.

• What are the factors of 319?

  Factors of 319 are 1 , 11 , 29 , 319.

• What is prime factorization of 319 in exponential form?

  Prime factorization of 319 in exponential form is 11 x 29.

• Is 319 a prime number or a composite number?

  319 is a composite number.

• Is 319 a prime number?

  false, 319 is not a prime number.

• What is the sum of all prime factors of 319?

  Prime factors of 319 are 11 x 29. Therefore, their sum is 40.

• What is the product of all prime factors of 319?

  Prime factors of 319 are 11 x 29. Therefore, their product is 319.

• What numbers are the prime factors of 319?

  Prime factors of 319 are 11 , 29.

• What is the sum of all odd prime factors of 319?

  Prime factors of 319 are 11 , 29, out of which 11 , 29 are odd numbers. So, the sum of odd prime factors of 319 is 11 + 29 = 40.