Factor Calculator

Factors of 333

The factors of 333 are 1, 3, 9, 37, 111, and 333. In total, 333 has 6 factors. Its prime factorization is 3² × 37, and the sum of all its factors is 494.

All factors of 333

Here are all 6 factors of 333, listed from smallest to largest.

13937111333

Factor pairs of 333

These 3 pairs of whole numbers each multiply to give 333.

1 × 333 = 333
3 × 111 = 333
9 × 37 = 333

Prime factorization of 333

Dividing 333 by the smallest prime at each step gives its prime factorization:

333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
Result: 333 = 3 × 3 × 37 = 3² × 37

The distinct prime factors of 333 are 3, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 333

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 3333333111337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 333

Number of factors6
Sum of factors494
Sum of proper factors161
Prime factorization3² × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 333 interesting

  • 333 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 333 is a deficient number: its proper factors sum to 161, which is 172 less than 333 itself.

How to find the factors of 333 yourself

Divide 333 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √333 ≈ 18.25, because every factor above that pairs with one below it.

333 ÷ 1 = 333 ✓
333 ÷ 3 = 111 ✓
333 ÷ 9 = 37 ✓

Reading both columns gives every factor: 1, 3, 9, 37, 111, 333. The factor calculator does this automatically for any number.

Numbers mathematically connected to 333.

Frequently asked questions about 333

What are the factors of 333?

The factors of 333 are 1, 3, 9, 37, 111, and 333. That is 6 factors in total, counting both 1 and 333.

Is 333 a prime number?

No, 333 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 333 is also divisible by 3.

What is the prime factorization of 333?

The prime factorization of 333 is 3² × 37. Written out in full: 3 × 3 × 37 = 333. Its distinct prime factors are 3, 37.

What two numbers multiply to give 333?

There are 3 pairs of whole numbers that multiply to 333: 1 × 333, 3 × 111, 9 × 37.

What is the sum of the factors of 333?

Adding all the factors of 333 together gives 494. Excluding 333 itself, the proper factors sum to 161.

Is 333 a perfect square?

No, 333 is not a perfect square. There is no whole number that multiplies by itself to give 333. The nearest perfect squares are 324 and 361.

What is the largest factor of 333 other than itself?

The largest factor of 333 apart from 333 itself is 111, since 333 ÷ 111 = 3.

How many factors does 333 have?

333 has 6 factors: 1, 3, 9, 37, 111, and 333. You can verify this from the prime factorization 3² × 37: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 333 down further with the prime factorization calculator, or compare 333 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.