Prime Factors of 813

Steps to find Prime Factors of 813 by Division Method

To find the primefactors of 813 using the division method, follow these steps:

• Step 1. Start dividing 813 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 813, which is 3. Divide 813 by 3 to obtain the quotient (271).
  813 ÷ 3 = 271
• Step 3. Repeat step 1 with the obtained quotient (271).
  271 ÷ 271 = 1

So, the prime factorization of 813 is, 813 = 3 x 271.

Steps to find Prime Factors of 813 by Factor Tree Method

We can follow the same procedure using the factor tree of 813 as shown below:

So, the prime factorization of 813 is, 813 = 3 x 271.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 813 are 3 x 271.

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 813 but not a prime factor of 813.

Frequently Asked Questions

• Which is the smallest prime factor of 813?

  Smallest prime factor of 813 is 3.

• Is 813 a perfect square?

  No 813 is not a perfect square.

• What is the prime factorization of 813?

  Prime factorization of 813 is 3 x 271.

• What are the factors of 813?

  Factors of 813 are 1 , 3 , 271 , 813.

• What is prime factorization of 813 in exponential form?

  Prime factorization of 813 in exponential form is 3 x 271.

• Is 813 a prime number or a composite number?

  813 is a composite number.

• Is 813 a prime number?

  false, 813 is not a prime number.

• How to find prime factorization of 813 easily?

  To find prime factorization of 813 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 813?

  The largest prime factor of 813 is 271.