Prime Factors of 12005

Steps to find Prime Factors of 12005 by Division Method

To find the primefactors of 12005 using the division method, follow these steps:

• Step 1. Start dividing 12005 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 12005, which is 5. Divide 12005 by 5 to obtain the quotient (2401).
  12005 ÷ 5 = 2401
• Step 3. Repeat step 1 with the obtained quotient (2401).
  2401 ÷ 7 = 343
  343 ÷ 7 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 12005 is, 12005 = 5 x 7 x 7 x 7 x 7.

Steps to find Prime Factors of 12005 by Factor Tree Method

We can follow the same procedure using the factor tree of 12005 as shown below:

So, the prime factorization of 12005 is, 12005 = 5 x 7 x 7 x 7 x 7.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 12005 are 5 x 7 x 7 x 7 x 7.

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 12005 but not a prime factor of 12005.

Frequently Asked Questions

• Which is the smallest prime factor of 12005?

  Smallest prime factor of 12005 is 5.

• Is 12005 a perfect square?

  No 12005 is not a perfect square.

• What is the prime factorization of 12005?

  Prime factorization of 12005 is 5 x 7 x 7 x 7 x 7.

• What are the factors of 12005?

  Factors of 12005 are 1 , 5 , 7 , 35 , 49 , 245 , 343 , 1715 , 2401 , 12005.

• What is prime factorization of 12005 in exponential form?

  Prime factorization of 12005 in exponential form is 5 x 7⁴.

• Is 12005 a prime number or a composite number?

  12005 is a composite number.

• Is 12005 a prime number?

  false, 12005 is not a prime number.

• How to find prime factorization of 12005 easily?

  To find prime factorization of 12005 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 12005?

  The largest prime factor of 12005 is 7.