Prime Factors of 6981

Steps to find Prime Factors of 6981 by Division Method

To find the primefactors of 6981 using the division method, follow these steps:

• Step 1. Start dividing 6981 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 6981, which is 3. Divide 6981 by 3 to obtain the quotient (2327).
  6981 ÷ 3 = 2327
• Step 3. Repeat step 1 with the obtained quotient (2327).
  2327 ÷ 13 = 179
  179 ÷ 179 = 1

So, the prime factorization of 6981 is, 6981 = 3 x 13 x 179.

Steps to find Prime Factors of 6981 by Factor Tree Method

We can follow the same procedure using the factor tree of 6981 as shown below:

So, the prime factorization of 6981 is, 6981 = 3 x 13 x 179.

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 6981 are 3 x 13 x 179.

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 6981 but not a prime factor of 6981.

Frequently Asked Questions

• Which is the smallest prime factor of 6981?

  Smallest prime factor of 6981 is 3.

• Is 6981 a perfect square?

  No 6981 is not a perfect square.

• What is the prime factorization of 6981?

  Prime factorization of 6981 is 3 x 13 x 179.

• What are the factors of 6981?

  Factors of 6981 are 1 , 3 , 13 , 39 , 179 , 537 , 2327 , 6981.

• What is prime factorization of 6981 in exponential form?

  Prime factorization of 6981 in exponential form is 3 x 13 x 179.

• Is 6981 a prime number or a composite number?

  6981 is a composite number.

• Is 6981 a prime number?

  false, 6981 is not a prime number.

• How to find prime factorization of 6981 easily?

  To find prime factorization of 6981 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 6981?

  The largest prime factor of 6981 is 179.