Factor Calculator

Factors of 323

The factors of 323 are 1, 17, 19, and 323. In total, 323 has 4 factors. Its prime factorization is 17 × 19, and the sum of all its factors is 360.

All factors of 323

Here are all 4 factors of 323, listed from smallest to largest.

11719323

Factor pairs of 323

These 2 pairs of whole numbers each multiply to give 323.

1 × 323 = 323
17 × 19 = 323

Prime factorization of 323

Dividing 323 by the smallest prime at each step gives its prime factorization:

323 ÷ 17 = 19
19 ÷ 19 = 1
Result: 323 = 17 × 19 = 17 × 19

The distinct prime factors of 323 are 17, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 323

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

Factor tree of 3233231719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 323

Number of factors4
Sum of factors360
Sum of proper factors37
Prime factorization17 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 323 interesting

  • 323 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 323 is a deficient number: its proper factors sum to 37, which is 286 less than 323 itself.

How to find the factors of 323 yourself

Divide 323 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 √32317.97, because every factor above that pairs with one below it.

323 ÷ 1 = 323
323 ÷ 17 = 19

Reading both columns gives every factor: 1, 17, 19, 323. The factor calculator does this automatically for any number.

Frequently asked questions about 323

What are the factors of 323?

The factors of 323 are 1, 17, 19, and 323. That is 4 factors in total, counting both 1 and 323.

Is 323 a prime number?

No, 323 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 323 is also divisible by 17.

What is the prime factorization of 323?

The prime factorization of 323 is 17 × 19. Written out in full: 17 × 19 = 323. Its distinct prime factors are 17, 19.

What two numbers multiply to give 323?

There are 2 pairs of whole numbers that multiply to 323: 1 × 323, 17 × 19.

What is the sum of the factors of 323?

Adding all the factors of 323 together gives 360. Excluding 323 itself, the proper factors sum to 37.

Is 323 a perfect square?

No, 323 is not a perfect square. There is no whole number that multiplies by itself to give 323. The nearest perfect squares are 289 and 324.

What is the largest factor of 323 other than itself?

The largest factor of 323 apart from 323 itself is 19, since 323 ÷ 19 = 17.

How many factors does 323 have?

323 has 4 factors: 1, 17, 19, and 323. You can verify this from the prime factorization 17 × 19: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 323 down further with the prime factorization calculator, or compare 323 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.