# Prime factorization of 333

Here you will see step by step solution of prime factorization of 333, how to find factors of 333, you will see all factors of 333, how many factors of 333 has? Factors of 333 are 1, 3, 9, 37, 111, 333, we can see that 333 has 6 factor and sum of all factors is 494.

• All Factors of 333: 1, 3, 9, 37, 111, 333
• Prime Factors of 333: 3 × 3 × 37
• Prime Factorization of 333: 32 × 371
• Sum of Factors of 333: 494
• Is 333 prime number: No

### How to find factors of 333 by Division Method?

To find the factors of 333 by division method, we need the find the all numbers between 1 to 333, which divide 333 with 0 remainder, then the number is factor of 333.

### Pair factors of 333

• 333/1 = 333 [ 1 × 333 (1, 333) 1 and 333 is pair factor of 333]
• 333/3 = 111 [ 3 × 111 (3, 111) 3 and 111 is pair factor of 333]
• 333/9 = 37 [ 9 × 37 (9, 37) 9 and 37 is pair factor of 333]
• 333/37 = 9 [ 37 × 9 (37, 9) 37 and 9 is pair factor of 333]
• 333/111 = 3 [ 111 × 3 (111, 3) 111 and 3 is pair factor of 333]
• 333/333 = 1 [ 333 × 1 (333, 1) 333 and 1 is pair factor of 333]

As we checked numbers between 1 to 333 that are not leaving any remainder, hence we can say factors of 333 is 1, 3, 9, 37, 111, 333.

Also note that, in exponential form prime factorization of 333 is written as 32 × 371 and it is a composite number.

#### Prime Factorization Calculator

We hope you understand that how to find factors of 333. Let's check some other examples of factors.