# Prime Factors of 10013

Prime Factors of 10013 are 17, 19, and 31

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

 1.   Prime Factorization of 10013 by Division Method 2.   Prime Factorization of 10013 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 10013 by Division Method

To find the primefactors of 10013 using the division method, follow these steps:

• Step 1. Start dividing 10013 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 10013, which is 17. Divide 10013 by 17 to obtain the quotient (589).
10013 ÷ 17 = 589
• Step 3. Repeat step 1 with the obtained quotient (589).
589 ÷ 19 = 31
31 ÷ 31 = 1

So, the prime factorization of 10013 is, 10013 = 17 x 19 x 31.

#### Steps to find Prime Factors of 10013 by Factor Tree Method

We can follow the same procedure using the factor tree of 10013 as shown below:

So, the prime factorization of 10013 is, 10013 = 17 x 19 x 31.

#### 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 10013 are 17 x 19 x 31.

#### 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 10013 but not a prime factor of 10013.

• Which is the smallest prime factor of 10013?

Smallest prime factor of 10013 is 17.

• Is 10013 a perfect square?

No 10013 is not a perfect square.

• What is the prime factorization of 10013?

Prime factorization of 10013 is 17 x 19 x 31.

• What are the factors of 10013?

Factors of 10013 are 1 , 17 , 19 , 31 , 323 , 527 , 589 , 10013.

• What is prime factorization of 10013 in exponential form?

Prime factorization of 10013 in exponential form is 17 x 19 x 31.

• Is 10013 a prime number or a composite number?

10013 is a composite number.

• Is 10013 a prime number?

false, 10013 is not a prime number.

• How to find prime factorization of 10013 easily?

To find prime factorization of 10013 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 10013?

The largest prime factor of 10013 is 31.