# Prime Factors of 301

Prime Factors of 301 are 7 and 43

#### How to find prime factors of a number

 1.   Prime Factorization of 301 by Division Method 2.   Prime Factorization of 301 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 301 by Division Method

To find the primefactors of 301 using the division method, follow these steps:

• Step 1. Start dividing 301 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 301, which is 7. Divide 301 by 7 to obtain the quotient (43).
301 ÷ 7 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 301 is, 301 = 7 x 43.

#### Steps to find Prime Factors of 301 by Factor Tree Method

We can follow the same procedure using the factor tree of 301 as shown below:

So, the prime factorization of 301 is, 301 = 7 x 43.

#### 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 301 are 7 x 43.

#### 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 301 but not a prime factor of 301.

• Which is the smallest prime factor of 301?

Smallest prime factor of 301 is 7.

• Is 301 a perfect square?

No 301 is not a perfect square.

• What is the prime factorization of 301?

Prime factorization of 301 is 7 x 43.

• What are the factors of 301?

Factors of 301 are 1 , 7 , 43 , 301.

• What is prime factorization of 301 in exponential form?

Prime factorization of 301 in exponential form is 7 x 43.

• Is 301 a prime number or a composite number?

301 is a composite number.

• Is 301 a prime number?

false, 301 is not a prime number.

• How to find prime factorization of 301 easily?

To find prime factorization of 301 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 301?

The largest prime factor of 301 is 43.