Steps to find Prime Factors of 3246 by Division Method

To find the primefactors of 3246 using the division method, follow these steps:

  • Step 1. Start dividing 3246 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 3246, which is 2. Divide 3246 by 2 to obtain the quotient (1623).
    3246 ÷ 2 = 1623
  • Step 3. Repeat step 1 with the obtained quotient (1623).
    1623 ÷ 3 = 541
    541 ÷ 541 = 1

So, the prime factorization of 3246 is, 3246 = 2 x 3 x 541.

Steps to find Prime Factors of 3246 by Factor Tree Method

We can follow the same procedure using the factor tree of 3246 as shown below:

So, the prime factorization of 3246 is, 3246 = 2 x 3 x 541.

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 3246 are 2 x 3 x 541.

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 3246 but not a prime factor of 3246.

Frequently Asked Questions

  • Which is the smallest prime factor of 3246?

    Smallest prime factor of 3246 is 2.

  • Is 3246 a perfect square?

    No 3246 is not a perfect square.

  • What is the prime factorization of 3246?

    Prime factorization of 3246 is 2 x 3 x 541.

  • What are the factors of 3246?

    Factors of 3246 are 1 , 2 , 3 , 6 , 541 , 1082 , 1623 , 3246.

  • What is the product of all prime factors of 3246?

    Prime factors of 3246 are 2 x 3 x 541. Therefore, their product is 3246.

  • What numbers are the prime factors of 3246?

    Prime factors of 3246 are 2 , 3 , 541.

  • What is the sum of all odd prime factors of 3246?

    Prime factors of 3246 are 2 , 3 , 541, out of which 3 , 541 are odd numbers. So, the sum of odd prime factors of 3246 is 3 + 541 = 544.

  • Is there any even prime factor of 3246?

    Yes there is a even prime factor of 3246.

  • What is the product of all odd prime factors of 3246?

    Prime factors of 3246 are 2 , 3 , 541, out of which 3 , 541 are odd numbers. So, the product of odd prime factors of 3246 is 3 x 541 = 1623.