Prime Factors of 381

Steps to find Prime Factors of 381 by Division Method

To find the primefactors of 381 using the division method, follow these steps:

• Step 1. Start dividing 381 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 381, which is 3. Divide 381 by 3 to obtain the quotient (127).
  381 ÷ 3 = 127
• Step 3. Repeat step 1 with the obtained quotient (127).
  127 ÷ 127 = 1

So, the prime factorization of 381 is, 381 = 3 x 127.

Steps to find Prime Factors of 381 by Factor Tree Method

We can follow the same procedure using the factor tree of 381 as shown below:

So, the prime factorization of 381 is, 381 = 3 x 127.

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 381 are 3 x 127.

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 381 but not a prime factor of 381.

Frequently Asked Questions

• Which is the smallest prime factor of 381?

  Smallest prime factor of 381 is 3.

• Is 381 a perfect square?

  No 381 is not a perfect square.

• What is the prime factorization of 381?

  Prime factorization of 381 is 3 x 127.

• What are the factors of 381?

  Factors of 381 are 1 , 3 , 127 , 381.

• What is prime factorization of 381 in exponential form?

  Prime factorization of 381 in exponential form is 3 x 127.

• Is 381 a prime number or a composite number?

  381 is a composite number.

• Is 381 a prime number?

  false, 381 is not a prime number.

• How to find prime factorization of 381 easily?

  To find prime factorization of 381 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 381?

  The largest prime factor of 381 is 127.