Factors of 333 are the list of integers that we can split evenly into 333. There are overall 6 factors of 333 among which 333 is the biggest factor and 1, 3, 9, 37, 111, 333 are positive factors. The Pair Factors of 333 are (1, 333), (3, 111), (9, 37) and its Prime Factors are 3 × 37.

• All Factors of 333: 1, 3, 9, 37, 111 and 333
• Negative Factors of 333: -1, -3, -9, -37, -111 and -333
• Prime Factors of 333: 3, 37
• Prime Factorization of 333: 3² × 37¹
• Sum of Factors of 333: 494

1.	What Are the Factors of 333?
2.	Factors of 333 by Prime Factorization
3.	Factors of 333 in Pairs
4.	FAQs on Factors of 333

Factors of 333 are pairs of those numbers whose products result in 333. These factors are either prime numbers or composite numbers.

How to Find the Factors of 333?

To find the factors of 333, we will have to find the list of numbers that would divide 333 without leaving any remainder.

• 333/9 = 37; therefore, 9 is a factor of 333 and 37 is also a factor of 333.
• 333/3 = 111; therefore, 3 is a factor of 333 and 111 is also a factor of 333.

Similarly we can find other factors. Hence, the factors of 333 are 1, 3, 9, 37, 111, 333.

☛ Also Check:

• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 19 - The factors of 19 are 1, 19
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 333 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 333. The first step is to divide the number 333 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 333 ÷ 3 = 111
• 111 ÷ 3 = 37

Further dividing 37 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 37 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 333 can be written as 3² × 37¹ where 3, 37 are prime.

Pair factors of 333 are the pairs of numbers that when multiplied give the product 333. The factors of 333 in pairs are:

• 1 × 333 = (1, 333)
• 3 × 111 = (3, 111)
• 9 × 37 = (9, 37)

Negative pair factors of 333 are:

• -1 × -333 = (-1, -333)
• -3 × -111 = (-3, -111)
• -9 × -37 = (-9, -37)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.