Prime Factors of 6981

Prime Factors of 6981 are 3, 13, and 179

How to find prime factors of a number

 1.   Prime Factorization of 6981 by Division Method 2.   Prime Factorization of 6981 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

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.

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