Prime Factors of 333

Steps to find Prime Factors of 333 by Division Method

To find the primefactors of 333 using the division method, follow these steps:

• Step 1. Start dividing 333 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 333, which is 3. Divide 333 by 3 to obtain the quotient (111).
  333 ÷ 3 = 111
• Step 3. Repeat step 1 with the obtained quotient (111).
  111 ÷ 3 = 37
  37 ÷ 37 = 1

So, the prime factorization of 333 is, 333 = 3 x 3 x 37.

Steps to find Prime Factors of 333 by Factor Tree Method

We can follow the same procedure using the factor tree of 333 as shown below:

So, the prime factorization of 333 is, 333 = 3 x 3 x 37.

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 333 are 3 x 3 x 37.

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 333 but not a prime factor of 333.

Frequently Asked Questions

• Which is the smallest prime factor of 333?

  Smallest prime factor of 333 is 3.

• Is 333 a perfect square?

  No 333 is not a perfect square.

• What is the prime factorization of 333?

  Prime factorization of 333 is 3 x 3 x 37.

• What are the factors of 333?

  Factors of 333 are 1 , 3 , 9 , 37 , 111 , 333.

• What is prime factorization of 333 in exponential form?

  Prime factorization of 333 in exponential form is 3² x 37.

• Is 333 a prime number or a composite number?

  333 is a composite number.

• Is 333 a prime number?

  false, 333 is not a prime number.

• How to find prime factorization of 333 easily?

  To find prime factorization of 333 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 333?

  The largest prime factor of 333 is 37.