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.

Frequently Asked Questions

  • 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.