Steps to find Prime Factors of 1046 by Division Method

To find the primefactors of 1046 using the division method, follow these steps:

  • Step 1. Start dividing 1046 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 1046, which is 2. Divide 1046 by 2 to obtain the quotient (523).
    1046 ÷ 2 = 523
  • Step 3. Repeat step 1 with the obtained quotient (523).
    523 ÷ 523 = 1

So, the prime factorization of 1046 is, 1046 = 2 x 523.

Steps to find Prime Factors of 1046 by Factor Tree Method

We can follow the same procedure using the factor tree of 1046 as shown below:

So, the prime factorization of 1046 is, 1046 = 2 x 523.

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 1046 are 2 x 523.

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 1046 but not a prime factor of 1046.

Frequently Asked Questions

  • Which is the smallest prime factor of 1046?

    Smallest prime factor of 1046 is 2.

  • Is 1046 a perfect square?

    No 1046 is not a perfect square.

  • What is the prime factorization of 1046?

    Prime factorization of 1046 is 2 x 523.

  • What are the factors of 1046?

    Factors of 1046 are 1 , 2 , 523 , 1046.

  • What is the product of all prime factors of 1046?

    Prime factors of 1046 are 2 x 523. Therefore, their product is 1046.

  • What numbers are the prime factors of 1046?

    Prime factors of 1046 are 2 , 523.

  • What is the sum of all odd prime factors of 1046?

    Prime factors of 1046 are 2 , 523, out of which 523 are odd numbers. So, the sum of odd prime factors of 1046 is 523 = 523.

  • Is there any even prime factor of 1046?

    Yes there is a even prime factor of 1046.

  • What is the product of all odd prime factors of 1046?

    Prime factors of 1046 are 2 , 523, out of which 523 are odd numbers. So, the product of odd prime factors of 1046 is 523 = 523.