Prime Factors of 31

Steps to find Prime Factors of 31 by Division Method

To find the primefactors of 31 using the division method, follow these steps:

• Step 1. Start dividing 31 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 31, which is 31. Divide 31 by 31 to obtain the quotient (1).
  31 ÷ 31 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 31 is, 31 = 31.

Steps to find Prime Factors of 31 by Factor Tree Method

We can follow the same procedure using the factor tree of 31 as shown below:

So, the prime factorization of 31 is, 31 = 31.

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 31 are 31.

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 31 but not a prime factor of 31.

Frequently Asked Questions

• Which is the smallest prime factor of 31?

  Smallest prime factor of 31 is 31.

• What are the factors of 31?

  Factors of 31 are 1 , 31.

• What is prime factorization of 31 in exponential form?

  Prime factorization of 31 in exponential form is 31.

• Is 31 a prime number or a composite number?

  31 is a prime number.

• Is 31 a prime number?

  true, 31 is a prime number.

• What is the sum of all prime factors of 31?

  Prime factors of 31 are 31. Therefore, their sum is 31.

• What is the product of all prime factors of 31?

  Prime factors of 31 are 31. Therefore, their product is 31.

• What numbers are the prime factors of 31?

  Prime factors of 31 are 31.

• What is the sum of all odd prime factors of 31?

  Prime factors of 31 are 31, out of which 31 are odd numbers. So, the sum of odd prime factors of 31 is 31 = 31.