Prime Factors of 397

Steps to find Prime Factors of 397 by Division Method

To find the primefactors of 397 using the division method, follow these steps:

• Step 1. Start dividing 397 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 397, which is 397. Divide 397 by 397 to obtain the quotient (1).
  397 ÷ 397 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 397 is, 397 = 397.

Steps to find Prime Factors of 397 by Factor Tree Method

We can follow the same procedure using the factor tree of 397 as shown below:

So, the prime factorization of 397 is, 397 = 397.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 397 are 397.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 397 but not a prime factor of 397.

Frequently Asked Questions

• Which is the smallest prime factor of 397?

  Smallest prime factor of 397 is 397.

• Is 397 a perfect square?

  No 397 is not a perfect square.

• What is the prime factorization of 397?

  Prime factorization of 397 is 397.

• What are the factors of 397?

  Factors of 397 are 1 , 397.

• What is prime factorization of 397 in exponential form?

  Prime factorization of 397 in exponential form is 397.

• Is 397 a prime number or a composite number?

  397 is a prime number.

• Is 397 a prime number?

  true, 397 is a prime number.

• How to find prime factorization of 397 easily?

  To find prime factorization of 397 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 397?

  The largest prime factor of 397 is 397.