Prime Factors of 971

Steps to find Prime Factors of 971 by Division Method

To find the primefactors of 971 using the division method, follow these steps:

• Step 1. Start dividing 971 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 971, which is 971. Divide 971 by 971 to obtain the quotient (1).
  971 ÷ 971 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 971 is, 971 = 971.

Steps to find Prime Factors of 971 by Factor Tree Method

We can follow the same procedure using the factor tree of 971 as shown below:

So, the prime factorization of 971 is, 971 = 971.

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 971 are 971.

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 971 but not a prime factor of 971.

Frequently Asked Questions

• Which is the smallest prime factor of 971?

  Smallest prime factor of 971 is 971.

• Is 971 a perfect square?

  No 971 is not a perfect square.

• What is the prime factorization of 971?

  Prime factorization of 971 is 971.

• What is prime factorization of 971 in exponential form?

  Prime factorization of 971 in exponential form is 971.

• Is 971 a prime number?

  true, 971 is a prime number.

• Which is the largest prime factors of 971?

  The largest prime factor of 971 is 971.

• What is the product of all prime factors of 971?

  Prime factors of 971 are 971. Therefore, their product is 971.

• What is the sum of all odd prime factors of 971?

  Prime factors of 971 are 971, out of which 971 are odd numbers. So, the sum of odd prime factors of 971 is 971 = 971.

• What is the product of all odd prime factors of 971?

  Prime factors of 971 are 971, out of which 971 are odd numbers. So, the product of odd prime factors of 971 is 971 = 971.