Prime Factors of 331

Steps to find Prime Factors of 331 by Division Method

To find the primefactors of 331 using the division method, follow these steps:

• Step 1. Start dividing 331 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 331, which is 331. Divide 331 by 331 to obtain the quotient (1).
  331 ÷ 331 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 331 is, 331 = 331.

Steps to find Prime Factors of 331 by Factor Tree Method

We can follow the same procedure using the factor tree of 331 as shown below:

So, the prime factorization of 331 is, 331 = 331.

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 331 are 331.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 331 but not a prime factor of 331.

Frequently Asked Questions

• Which is the smallest prime factor of 331?

  Smallest prime factor of 331 is 331.

• Is 331 a perfect square?

  No 331 is not a perfect square.

• What is the prime factorization of 331?

  Prime factorization of 331 is 331.

• What is prime factorization of 331 in exponential form?

  Prime factorization of 331 in exponential form is 331.

• Is 331 a prime number?

  true, 331 is a prime number.

• Which is the largest prime factors of 331?

  The largest prime factor of 331 is 331.

• What is the product of all prime factors of 331?

  Prime factors of 331 are 331. Therefore, their product is 331.

• What is the sum of all odd prime factors of 331?

  Prime factors of 331 are 331, out of which 331 are odd numbers. So, the sum of odd prime factors of 331 is 331 = 331.

• What is the product of all odd prime factors of 331?

  Prime factors of 331 are 331, out of which 331 are odd numbers. So, the product of odd prime factors of 331 is 331 = 331.