Steps to find Prime Factors of 6859 by Division Method

To find the primefactors of 6859 using the division method, follow these steps:

  • Step 1. Start dividing 6859 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 6859, which is 19. Divide 6859 by 19 to obtain the quotient (361).
    6859 ÷ 19 = 361
  • Step 3. Repeat step 1 with the obtained quotient (361).
    361 ÷ 19 = 19
    19 ÷ 19 = 1

So, the prime factorization of 6859 is, 6859 = 19 x 19 x 19.

Steps to find Prime Factors of 6859 by Factor Tree Method

We can follow the same procedure using the factor tree of 6859 as shown below:

So, the prime factorization of 6859 is, 6859 = 19 x 19 x 19.

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 6859 are 19 x 19 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 6859 but not a prime factor of 6859.

Frequently Asked Questions

  • Which is the smallest prime factor of 6859?

    Smallest prime factor of 6859 is 19.

  • Is 6859 a perfect square?

    No 6859 is not a perfect square.

  • What is the prime factorization of 6859?

    Prime factorization of 6859 is 19 x 19 x 19.

  • What is prime factorization of 6859 in exponential form?

    Prime factorization of 6859 in exponential form is 193.

  • Is 6859 a prime number?

    false, 6859 is not a prime number.

  • Which is the largest prime factors of 6859?

    The largest prime factor of 6859 is 19.

  • What is the product of all prime factors of 6859?

    Prime factors of 6859 are 19 x 19 x 19. Therefore, their product is 6859.

  • What is the sum of all odd prime factors of 6859?

    Prime factors of 6859 are 19 , 19 , 19, out of which 19 , 19 , 19 are odd numbers. So, the sum of odd prime factors of 6859 is 19 + 19 + 19 = 57.

  • What is the product of all odd prime factors of 6859?

    Prime factors of 6859 are 19 , 19 , 19, out of which 19 , 19 , 19 are odd numbers. So, the product of odd prime factors of 6859 is 19 x 19 x 19 = 6859.