# Prime Factors of 893

Prime Factors of 893 are 19 and 47

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

 1.   Prime Factorization of 893 by Division Method 2.   Prime Factorization of 893 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 893 by Division Method

To find the primefactors of 893 using the division method, follow these steps:

• Step 1. Start dividing 893 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 893, which is 19. Divide 893 by 19 to obtain the quotient (47).
893 ÷ 19 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 893 is, 893 = 19 x 47.

#### Steps to find Prime Factors of 893 by Factor Tree Method

We can follow the same procedure using the factor tree of 893 as shown below:

So, the prime factorization of 893 is, 893 = 19 x 47.

#### 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 893 are 19 x 47.

#### 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 893 but not a prime factor of 893.

• Which is the smallest prime factor of 893?

Smallest prime factor of 893 is 19.

• Is 893 a perfect square?

No 893 is not a perfect square.

• What is the prime factorization of 893?

Prime factorization of 893 is 19 x 47.

• What are the factors of 893?

Factors of 893 are 1 , 19 , 47 , 893.

• What is prime factorization of 893 in exponential form?

Prime factorization of 893 in exponential form is 19 x 47.

• Is 893 a prime number or a composite number?

893 is a composite number.

• Is 893 a prime number?

false, 893 is not a prime number.

• How to find prime factorization of 893 easily?

To find prime factorization of 893 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 893?

The largest prime factor of 893 is 47.