Prime Factors of 337

Steps to find Prime Factors of 337 by Division Method

To find the primefactors of 337 using the division method, follow these steps:

• Step 1. Start dividing 337 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 337, which is 337. Divide 337 by 337 to obtain the quotient (1).
  337 ÷ 337 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 337 is, 337 = 337.

Steps to find Prime Factors of 337 by Factor Tree Method

We can follow the same procedure using the factor tree of 337 as shown below:

So, the prime factorization of 337 is, 337 = 337.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 337 are 337.

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 337 but not a prime factor of 337.

Frequently Asked Questions

• Which is the smallest prime factor of 337?

  Smallest prime factor of 337 is 337.

• What is the prime factorization of 337?

  Prime factorization of 337 is 337.

• What is prime factorization of 337 in exponential form?

  Prime factorization of 337 in exponential form is 337.

• Is 337 a prime number or a composite number?

  337 is a prime number.

• Is 337 a prime number?

  true, 337 is a prime number.

• How to find prime factorization of 337 easily?

  To find prime factorization of 337 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 337?

  The largest prime factor of 337 is 337.

• What is the product of all prime factors of 337?

  Prime factors of 337 are 337. Therefore, their product is 337.

• What is the sum of all odd prime factors of 337?

  Prime factors of 337 are 337, out of which 337 are odd numbers. So, the sum of odd prime factors of 337 is 337 = 337.