Prime Factors of 6006

Steps to find Prime Factors of 6006 by Division Method

To find the primefactors of 6006 using the division method, follow these steps:

• Step 1. Start dividing 6006 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 6006, which is 2. Divide 6006 by 2 to obtain the quotient (3003).
  6006 ÷ 2 = 3003
• Step 3. Repeat step 1 with the obtained quotient (3003).
  3003 ÷ 3 = 1001
  1001 ÷ 7 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 6006 is, 6006 = 2 x 3 x 7 x 11 x 13.

Steps to find Prime Factors of 6006 by Factor Tree Method

We can follow the same procedure using the factor tree of 6006 as shown below:

So, the prime factorization of 6006 is, 6006 = 2 x 3 x 7 x 11 x 13.

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 6006 are 2 x 3 x 7 x 11 x 13.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 6006 but not a prime factor of 6006.

Frequently Asked Questions

• Which is the smallest prime factor of 6006?

  Smallest prime factor of 6006 is 2.

• Is 6006 a perfect square?

  No 6006 is not a perfect square.

• What is the prime factorization of 6006?

  Prime factorization of 6006 is 2 x 3 x 7 x 11 x 13.

• What are the factors of 6006?

  Factors of 6006 are 1 , 2 , 3 , 6 , 7 , 11 , 13 , 14 , 21 , 22 , 26 , 33 , 39 , 42 , 66 , 77 , 78 , 91 , 143 , 154 , 182 , 231 , 273 , 286 , 429 , 462 , 546 , 858 , 1001 , 2002 , 3003 , 6006.

• What is the product of all prime factors of 6006?

  Prime factors of 6006 are 2 x 3 x 7 x 11 x 13. Therefore, their product is 6006.

• What numbers are the prime factors of 6006?

  Prime factors of 6006 are 2 , 3 , 7 , 11 , 13.

• What is the sum of all odd prime factors of 6006?

  Prime factors of 6006 are 2 , 3 , 7 , 11 , 13, out of which 3 , 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 6006 is 3 + 7 + 11 + 13 = 34.

• Is there any even prime factor of 6006?

  Yes there is a even prime factor of 6006.

• What is the product of all odd prime factors of 6006?

  Prime factors of 6006 are 2 , 3 , 7 , 11 , 13, out of which 3 , 7 , 11 , 13 are odd numbers. So, the product of odd prime factors of 6006 is 3 x 7 x 11 x 13 = 3003.