# Prime Factors of 3333

Prime Factors of 3333 are 3, 11, and 101

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

 1.   Prime Factorization of 3333 by Division Method 2.   Prime Factorization of 3333 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 3333 by Division Method

To find the primefactors of 3333 using the division method, follow these steps:

• Step 1. Start dividing 3333 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 3333, which is 3. Divide 3333 by 3 to obtain the quotient (1111).
3333 ÷ 3 = 1111
• Step 3. Repeat step 1 with the obtained quotient (1111).
1111 ÷ 11 = 101
101 ÷ 101 = 1

So, the prime factorization of 3333 is, 3333 = 3 x 11 x 101.

#### Steps to find Prime Factors of 3333 by Factor Tree Method

We can follow the same procedure using the factor tree of 3333 as shown below:

So, the prime factorization of 3333 is, 3333 = 3 x 11 x 101.

#### 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 3333 are 3 x 11 x 101.

#### 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 3333 but not a prime factor of 3333.

• Which is the smallest prime factor of 3333?

Smallest prime factor of 3333 is 3.

• Is 3333 a perfect square?

No 3333 is not a perfect square.

• What is the prime factorization of 3333?

Prime factorization of 3333 is 3 x 11 x 101.

• What are the factors of 3333?

Factors of 3333 are 1 , 3 , 11 , 33 , 101 , 303 , 1111 , 3333.

• What is prime factorization of 3333 in exponential form?

Prime factorization of 3333 in exponential form is 3 x 11 x 101.

• Is 3333 a prime number or a composite number?

3333 is a composite number.

• Is 3333 a prime number?

false, 3333 is not a prime number.

• How to find prime factorization of 3333 easily?

To find prime factorization of 3333 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 3333?

The largest prime factor of 3333 is 101.