Prime Factors of 846

Steps to find Prime Factors of 846 by Division Method

To find the primefactors of 846 using the division method, follow these steps:

• Step 1. Start dividing 846 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 846, which is 2. Divide 846 by 2 to obtain the quotient (423).
  846 ÷ 2 = 423
• Step 3. Repeat step 1 with the obtained quotient (423).
  423 ÷ 3 = 141
  141 ÷ 3 = 47
  47 ÷ 47 = 1

So, the prime factorization of 846 is, 846 = 2 x 3 x 3 x 47.

Steps to find Prime Factors of 846 by Factor Tree Method

We can follow the same procedure using the factor tree of 846 as shown below:

So, the prime factorization of 846 is, 846 = 2 x 3 x 3 x 47.

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 846 are 2 x 3 x 3 x 47.

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 846 but not a prime factor of 846.

Frequently Asked Questions

• Which is the smallest prime factor of 846?

  Smallest prime factor of 846 is 2.

• Is 846 a perfect square?

  No 846 is not a perfect square.

• What is the prime factorization of 846?

  Prime factorization of 846 is 2 x 3 x 3 x 47.

• What are the factors of 846?

  Factors of 846 are 1 , 2 , 3 , 6 , 9 , 18 , 47 , 94 , 141 , 282 , 423 , 846.

• What is the product of all prime factors of 846?

  Prime factors of 846 are 2 x 3 x 3 x 47. Therefore, their product is 846.

• What numbers are the prime factors of 846?

  Prime factors of 846 are 2 , 3 , 3 , 47.

• What is the sum of all odd prime factors of 846?

  Prime factors of 846 are 2 , 3 , 3 , 47, out of which 3 , 3 , 47 are odd numbers. So, the sum of odd prime factors of 846 is 3 + 3 + 47 = 53.

• Is there any even prime factor of 846?

  Yes there is a even prime factor of 846.

• What is the product of all odd prime factors of 846?

  Prime factors of 846 are 2 , 3 , 3 , 47, out of which 3 , 3 , 47 are odd numbers. So, the product of odd prime factors of 846 is 3 x 3 x 47 = 423.