Prime Factors of 931

Steps to find Prime Factors of 931 by Division Method

To find the primefactors of 931 using the division method, follow these steps:

• Step 1. Start dividing 931 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 931, which is 7. Divide 931 by 7 to obtain the quotient (133).
  931 ÷ 7 = 133
• Step 3. Repeat step 1 with the obtained quotient (133).
  133 ÷ 7 = 19
  19 ÷ 19 = 1

So, the prime factorization of 931 is, 931 = 7 x 7 x 19.

Steps to find Prime Factors of 931 by Factor Tree Method

We can follow the same procedure using the factor tree of 931 as shown below:

So, the prime factorization of 931 is, 931 = 7 x 7 x 19.

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 931 are 7 x 7 x 19.

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 931 but not a prime factor of 931.

Frequently Asked Questions

• Which is the smallest prime factor of 931?

  Smallest prime factor of 931 is 7.

• Is 931 a perfect square?

  No 931 is not a perfect square.

• What is the prime factorization of 931?

  Prime factorization of 931 is 7 x 7 x 19.

• What is prime factorization of 931 in exponential form?

  Prime factorization of 931 in exponential form is 7² x 19.

• Is 931 a prime number?

  false, 931 is not a prime number.

• Which is the largest prime factors of 931?

  The largest prime factor of 931 is 19.

• What is the product of all prime factors of 931?

  Prime factors of 931 are 7 x 7 x 19. Therefore, their product is 931.

• What is the sum of all odd prime factors of 931?

  Prime factors of 931 are 7 , 7 , 19, out of which 7 , 7 , 19 are odd numbers. So, the sum of odd prime factors of 931 is 7 + 7 + 19 = 33.

• What is the product of all odd prime factors of 931?

  Prime factors of 931 are 7 , 7 , 19, out of which 7 , 7 , 19 are odd numbers. So, the product of odd prime factors of 931 is 7 x 7 x 19 = 931.