# Prime Factors of 1046

Prime Factors of 1046 are 2 and 523

#### How to find prime factors of a number

 1.   Prime Factorization of 1046 by Division Method 2.   Prime Factorization of 1046 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### 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.

• 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.