Prime Factors of 671

Steps to find Prime Factors of 671 by Division Method

To find the primefactors of 671 using the division method, follow these steps:

• Step 1. Start dividing 671 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 671, which is 11. Divide 671 by 11 to obtain the quotient (61).
  671 ÷ 11 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
  61 ÷ 61 = 1

So, the prime factorization of 671 is, 671 = 11 x 61.

Steps to find Prime Factors of 671 by Factor Tree Method

We can follow the same procedure using the factor tree of 671 as shown below:

So, the prime factorization of 671 is, 671 = 11 x 61.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 671 are 11 x 61.

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 671 but not a prime factor of 671.

Frequently Asked Questions

• Which is the smallest prime factor of 671?

  Smallest prime factor of 671 is 11.

• What are the factors of 671?

  Factors of 671 are 1 , 11 , 61 , 671.

• What is prime factorization of 671 in exponential form?

  Prime factorization of 671 in exponential form is 11 x 61.

• Is 671 a prime number or a composite number?

  671 is a composite number.

• Is 671 a prime number?

  false, 671 is not a prime number.

• What is the sum of all prime factors of 671?

  Prime factors of 671 are 11 x 61. Therefore, their sum is 72.

• What is the product of all prime factors of 671?

  Prime factors of 671 are 11 x 61. Therefore, their product is 671.

• What numbers are the prime factors of 671?

  Prime factors of 671 are 11 , 61.

• What is the sum of all odd prime factors of 671?

  Prime factors of 671 are 11 , 61, out of which 11 , 61 are odd numbers. So, the sum of odd prime factors of 671 is 11 + 61 = 72.