Prime Factors of 1006

Steps to find Prime Factors of 1006 by Division Method

To find the primefactors of 1006 using the division method, follow these steps:

• Step 1. Start dividing 1006 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 1006, which is 2. Divide 1006 by 2 to obtain the quotient (503).
  1006 ÷ 2 = 503
• Step 3. Repeat step 1 with the obtained quotient (503).
  503 ÷ 503 = 1

So, the prime factorization of 1006 is, 1006 = 2 x 503.

Steps to find Prime Factors of 1006 by Factor Tree Method

We can follow the same procedure using the factor tree of 1006 as shown below:

So, the prime factorization of 1006 is, 1006 = 2 x 503.

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 1006 are 2 x 503.

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 1006 but not a prime factor of 1006.

Frequently Asked Questions

• Which is the smallest prime factor of 1006?

  Smallest prime factor of 1006 is 2.

• Is 1006 a perfect square?

  No 1006 is not a perfect square.

• What is the prime factorization of 1006?

  Prime factorization of 1006 is 2 x 503.

• What are the factors of 1006?

  Factors of 1006 are 1 , 2 , 503 , 1006.

• What is the product of all prime factors of 1006?

  Prime factors of 1006 are 2 x 503. Therefore, their product is 1006.

• What numbers are the prime factors of 1006?

  Prime factors of 1006 are 2 , 503.

• What is the sum of all odd prime factors of 1006?

  Prime factors of 1006 are 2 , 503, out of which 503 are odd numbers. So, the sum of odd prime factors of 1006 is 503 = 503.

• Is there any even prime factor of 1006?

  Yes there is a even prime factor of 1006.

• What is the product of all odd prime factors of 1006?

  Prime factors of 1006 are 2 , 503, out of which 503 are odd numbers. So, the product of odd prime factors of 1006 is 503 = 503.