Prime Factors of 231

Steps to find Prime Factors of 231 by Division Method

To find the primefactors of 231 using the division method, follow these steps:

• Step 1. Start dividing 231 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 231, which is 3. Divide 231 by 3 to obtain the quotient (77).
  231 ÷ 3 = 77
• Step 3. Repeat step 1 with the obtained quotient (77).
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 231 is, 231 = 3 x 7 x 11.

Steps to find Prime Factors of 231 by Factor Tree Method

We can follow the same procedure using the factor tree of 231 as shown below:

So, the prime factorization of 231 is, 231 = 3 x 7 x 11.

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 231 are 3 x 7 x 11.

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 231 but not a prime factor of 231.

Frequently Asked Questions

• Which is the smallest prime factor of 231?

  Smallest prime factor of 231 is 3.

• What are the factors of 231?

  Factors of 231 are 1 , 3 , 7 , 11 , 21 , 33 , 77 , 231.

• What is prime factorization of 231 in exponential form?

  Prime factorization of 231 in exponential form is 3 x 7 x 11.

• Is 231 a prime number or a composite number?

  231 is a composite number.

• Is 231 a prime number?

  false, 231 is not a prime number.

• What is the sum of all prime factors of 231?

  Prime factors of 231 are 3 x 7 x 11. Therefore, their sum is 21.

• What is the product of all prime factors of 231?

  Prime factors of 231 are 3 x 7 x 11. Therefore, their product is 231.

• What numbers are the prime factors of 231?

  Prime factors of 231 are 3 , 7 , 11.

• What is the sum of all odd prime factors of 231?

  Prime factors of 231 are 3 , 7 , 11, out of which 3 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 231 is 3 + 7 + 11 = 21.