# Prime Factors of 2013

Prime Factors of 2013 are 3, 11, and 61

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

 1.   Prime Factorization of 2013 by Division Method 2.   Prime Factorization of 2013 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 2013 by Division Method

To find the primefactors of 2013 using the division method, follow these steps:

• Step 1. Start dividing 2013 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 2013, which is 3. Divide 2013 by 3 to obtain the quotient (671).
2013 ÷ 3 = 671
• Step 3. Repeat step 1 with the obtained quotient (671).
671 ÷ 11 = 61
61 ÷ 61 = 1

So, the prime factorization of 2013 is, 2013 = 3 x 11 x 61.

#### Steps to find Prime Factors of 2013 by Factor Tree Method

We can follow the same procedure using the factor tree of 2013 as shown below:

So, the prime factorization of 2013 is, 2013 = 3 x 11 x 61.

#### 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 2013 are 3 x 11 x 61.

#### 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 2013 but not a prime factor of 2013.

• Which is the smallest prime factor of 2013?

Smallest prime factor of 2013 is 3.

• Is 2013 a perfect square?

No 2013 is not a perfect square.

• What is the prime factorization of 2013?

Prime factorization of 2013 is 3 x 11 x 61.

• What are the factors of 2013?

Factors of 2013 are 1 , 3 , 11 , 33 , 61 , 183 , 671 , 2013.

• What is prime factorization of 2013 in exponential form?

Prime factorization of 2013 in exponential form is 3 x 11 x 61.

• Is 2013 a prime number or a composite number?

2013 is a composite number.

• Is 2013 a prime number?

false, 2013 is not a prime number.

• How to find prime factorization of 2013 easily?

To find prime factorization of 2013 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2013?

The largest prime factor of 2013 is 61.