Prime Factors of 6741

Steps to find Prime Factors of 6741 by Division Method

To find the primefactors of 6741 using the division method, follow these steps:

• Step 1. Start dividing 6741 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 6741, which is 3. Divide 6741 by 3 to obtain the quotient (2247).
  6741 ÷ 3 = 2247
• Step 3. Repeat step 1 with the obtained quotient (2247).
  2247 ÷ 3 = 749
  749 ÷ 7 = 107
  107 ÷ 107 = 1

So, the prime factorization of 6741 is, 6741 = 3 x 3 x 7 x 107.

Steps to find Prime Factors of 6741 by Factor Tree Method

We can follow the same procedure using the factor tree of 6741 as shown below:

So, the prime factorization of 6741 is, 6741 = 3 x 3 x 7 x 107.

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 6741 are 3 x 3 x 7 x 107.

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 6741 but not a prime factor of 6741.

Frequently Asked Questions

• Which is the smallest prime factor of 6741?

  Smallest prime factor of 6741 is 3.

• Is 6741 a perfect square?

  No 6741 is not a perfect square.

• What is the prime factorization of 6741?

  Prime factorization of 6741 is 3 x 3 x 7 x 107.

• What are the factors of 6741?

  Factors of 6741 are 1 , 3 , 7 , 9 , 21 , 63 , 107 , 321 , 749 , 963 , 2247 , 6741.

• What is prime factorization of 6741 in exponential form?

  Prime factorization of 6741 in exponential form is 3² x 7 x 107.

• Is 6741 a prime number or a composite number?

  6741 is a composite number.

• Is 6741 a prime number?

  false, 6741 is not a prime number.

• How to find prime factorization of 6741 easily?

  To find prime factorization of 6741 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 6741?

  The largest prime factor of 6741 is 107.