Steps to find Prime Factors of 349 by Division Method

To find the primefactors of 349 using the division method, follow these steps:

  • Step 1. Start dividing 349 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 349, which is 349. Divide 349 by 349 to obtain the quotient (1).
    349 ÷ 349 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 349 is, 349 = 349.

Steps to find Prime Factors of 349 by Factor Tree Method

We can follow the same procedure using the factor tree of 349 as shown below:

So, the prime factorization of 349 is, 349 = 349.

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 349 are 349.

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 349 but not a prime factor of 349.

Frequently Asked Questions

  • Which is the smallest prime factor of 349?

    Smallest prime factor of 349 is 349.

  • Is 349 a perfect square?

    No 349 is not a perfect square.

  • What is the prime factorization of 349?

    Prime factorization of 349 is 349.

  • What are the factors of 349?

    Factors of 349 are 1 , 349.

  • What is prime factorization of 349 in exponential form?

    Prime factorization of 349 in exponential form is 349.

  • Is 349 a prime number or a composite number?

    349 is a prime number.

  • Is 349 a prime number?

    true, 349 is a prime number.

  • How to find prime factorization of 349 easily?

    To find prime factorization of 349 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 349?

    The largest prime factor of 349 is 349.