Prime Factors of 646

Steps to find Prime Factors of 646 by Division Method

To find the primefactors of 646 using the division method, follow these steps:

• Step 1. Start dividing 646 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 646, which is 2. Divide 646 by 2 to obtain the quotient (323).
  646 ÷ 2 = 323
• Step 3. Repeat step 1 with the obtained quotient (323).
  323 ÷ 17 = 19
  19 ÷ 19 = 1

So, the prime factorization of 646 is, 646 = 2 x 17 x 19.

Steps to find Prime Factors of 646 by Factor Tree Method

We can follow the same procedure using the factor tree of 646 as shown below:

So, the prime factorization of 646 is, 646 = 2 x 17 x 19.

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 646 are 2 x 17 x 19.

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 646 but not a prime factor of 646.

Frequently Asked Questions

• Which is the smallest prime factor of 646?

  Smallest prime factor of 646 is 2.

• Is 646 a perfect square?

  No 646 is not a perfect square.

• What is the prime factorization of 646?

  Prime factorization of 646 is 2 x 17 x 19.

• What are the factors of 646?

  Factors of 646 are 1 , 2 , 17 , 19 , 34 , 38 , 323 , 646.

• What is the product of all prime factors of 646?

  Prime factors of 646 are 2 x 17 x 19. Therefore, their product is 646.

• What numbers are the prime factors of 646?

  Prime factors of 646 are 2 , 17 , 19.

• What is the sum of all odd prime factors of 646?

  Prime factors of 646 are 2 , 17 , 19, out of which 17 , 19 are odd numbers. So, the sum of odd prime factors of 646 is 17 + 19 = 36.

• Is there any even prime factor of 646?

  Yes there is a even prime factor of 646.

• What is the product of all odd prime factors of 646?

  Prime factors of 646 are 2 , 17 , 19, out of which 17 , 19 are odd numbers. So, the product of odd prime factors of 646 is 17 x 19 = 323.