Prime Factors of 679

Steps to find Prime Factors of 679 by Division Method

To find the primefactors of 679 using the division method, follow these steps:

• Step 1. Start dividing 679 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 679, which is 7. Divide 679 by 7 to obtain the quotient (97).
  679 ÷ 7 = 97
• Step 3. Repeat step 1 with the obtained quotient (97).
  97 ÷ 97 = 1

So, the prime factorization of 679 is, 679 = 7 x 97.

Steps to find Prime Factors of 679 by Factor Tree Method

We can follow the same procedure using the factor tree of 679 as shown below:

So, the prime factorization of 679 is, 679 = 7 x 97.

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 679 are 7 x 97.

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 679 but not a prime factor of 679.

Frequently Asked Questions

• Which is the smallest prime factor of 679?

  Smallest prime factor of 679 is 7.

• What are the factors of 679?

  Factors of 679 are 1 , 7 , 97 , 679.

• What is prime factorization of 679 in exponential form?

  Prime factorization of 679 in exponential form is 7 x 97.

• Is 679 a prime number or a composite number?

  679 is a composite number.

• Is 679 a prime number?

  false, 679 is not a prime number.

• What is the sum of all prime factors of 679?

  Prime factors of 679 are 7 x 97. Therefore, their sum is 104.

• What is the product of all prime factors of 679?

  Prime factors of 679 are 7 x 97. Therefore, their product is 679.

• What numbers are the prime factors of 679?

  Prime factors of 679 are 7 , 97.

• What is the sum of all odd prime factors of 679?

  Prime factors of 679 are 7 , 97, out of which 7 , 97 are odd numbers. So, the sum of odd prime factors of 679 is 7 + 97 = 104.