# Prime Factors of 801

Prime Factors of 801 are 3, 3, and 89

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

 1.   Prime Factorization of 801 by Division Method 2.   Prime Factorization of 801 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 801 by Division Method

To find the primefactors of 801 using the division method, follow these steps:

• Step 1. Start dividing 801 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 801, which is 3. Divide 801 by 3 to obtain the quotient (267).
801 ÷ 3 = 267
• Step 3. Repeat step 1 with the obtained quotient (267).
267 ÷ 3 = 89
89 ÷ 89 = 1

So, the prime factorization of 801 is, 801 = 3 x 3 x 89.

#### Steps to find Prime Factors of 801 by Factor Tree Method

We can follow the same procedure using the factor tree of 801 as shown below:

So, the prime factorization of 801 is, 801 = 3 x 3 x 89.

#### 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 801 are 3 x 3 x 89.

#### 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 801 but not a prime factor of 801.

• Which is the smallest prime factor of 801?

Smallest prime factor of 801 is 3.

• What is the prime factorization of 801?

Prime factorization of 801 is 3 x 3 x 89.

• What is prime factorization of 801 in exponential form?

Prime factorization of 801 in exponential form is 32 x 89.

• Is 801 a prime number or a composite number?

801 is a composite number.

• Is 801 a prime number?

false, 801 is not a prime number.

• How to find prime factorization of 801 easily?

To find prime factorization of 801 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 801?

The largest prime factor of 801 is 89.

• What is the product of all prime factors of 801?

Prime factors of 801 are 3 x 3 x 89. Therefore, their product is 801.

• What is the sum of all odd prime factors of 801?

Prime factors of 801 are 3 , 3 , 89, out of which 3 , 3 , 89 are odd numbers. So, the sum of odd prime factors of 801 is 3 + 3 + 89 = 95.