Prime Factors of 1005

Steps to find Prime Factors of 1005 by Division Method

To find the primefactors of 1005 using the division method, follow these steps:

• Step 1. Start dividing 1005 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 1005, which is 3. Divide 1005 by 3 to obtain the quotient (335).
  1005 ÷ 3 = 335
• Step 3. Repeat step 1 with the obtained quotient (335).
  335 ÷ 5 = 67
  67 ÷ 67 = 1

So, the prime factorization of 1005 is, 1005 = 3 x 5 x 67.

Steps to find Prime Factors of 1005 by Factor Tree Method

We can follow the same procedure using the factor tree of 1005 as shown below:

So, the prime factorization of 1005 is, 1005 = 3 x 5 x 67.

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 1005 are 3 x 5 x 67.

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 1005 but not a prime factor of 1005.

Frequently Asked Questions

• Which is the smallest prime factor of 1005?

  Smallest prime factor of 1005 is 3.

• Is 1005 a perfect square?

  No 1005 is not a perfect square.

• What is the prime factorization of 1005?

  Prime factorization of 1005 is 3 x 5 x 67.

• What are the factors of 1005?

  Factors of 1005 are 1 , 3 , 5 , 15 , 67 , 201 , 335 , 1005.

• What is prime factorization of 1005 in exponential form?

  Prime factorization of 1005 in exponential form is 3 x 5 x 67.

• Is 1005 a prime number or a composite number?

  1005 is a composite number.

• Is 1005 a prime number?

  false, 1005 is not a prime number.

• How to find prime factorization of 1005 easily?

  To find prime factorization of 1005 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1005?

  The largest prime factor of 1005 is 67.