Prime Factors of 313

Steps to find Prime Factors of 313 by Division Method

To find the primefactors of 313 using the division method, follow these steps:

• Step 1. Start dividing 313 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 313, which is 313. Divide 313 by 313 to obtain the quotient (1).
  313 ÷ 313 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 313 is, 313 = 313.

Steps to find Prime Factors of 313 by Factor Tree Method

We can follow the same procedure using the factor tree of 313 as shown below:

So, the prime factorization of 313 is, 313 = 313.

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 313 are 313.

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 313 but not a prime factor of 313.

Frequently Asked Questions

• Which is the smallest prime factor of 313?

  Smallest prime factor of 313 is 313.

• What is the prime factorization of 313?

  Prime factorization of 313 is 313.

• What is prime factorization of 313 in exponential form?

  Prime factorization of 313 in exponential form is 313.

• Is 313 a prime number or a composite number?

  313 is a prime number.

• Is 313 a prime number?

  true, 313 is a prime number.

• How to find prime factorization of 313 easily?

  To find prime factorization of 313 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 313?

  The largest prime factor of 313 is 313.

• What is the product of all prime factors of 313?

  Prime factors of 313 are 313. Therefore, their product is 313.

• What is the sum of all odd prime factors of 313?

  Prime factors of 313 are 313, out of which 313 are odd numbers. So, the sum of odd prime factors of 313 is 313 = 313.