Factor Calculator

Factors of 327

The factors of 327 are 1, 3, 109, and 327. In total, 327 has 4 factors. Its prime factorization is 3 × 109, and the sum of all its factors is 440.

All factors of 327

Here are all 4 factors of 327, listed from smallest to largest.

13109327

Factor pairs of 327

These 2 pairs of whole numbers each multiply to give 327.

1 × 327 = 327
3 × 109 = 327

Prime factorization of 327

Dividing 327 by the smallest prime at each step gives its prime factorization:

327 ÷ 3 = 109
109 ÷ 109 = 1
Result: 327 = 3 × 109 = 3 × 109

The distinct prime factors of 327 are 3, 109. To factorize any other number, use the prime factorization calculator.

Factor tree of 327

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

Factor tree of 3273273109
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 327

Number of factors4
Sum of factors440
Sum of proper factors113
Prime factorization3 × 109
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 327 interesting

  • 327 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.
  • 327 is a deficient number: its proper factors sum to 113, which is 214 less than 327 itself.

How to find the factors of 327 yourself

Divide 327 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 √327 ≈ 18.08, because every factor above that pairs with one below it.

327 ÷ 1 = 327 ✓
327 ÷ 3 = 109 ✓

Reading both columns gives every factor: 1, 3, 109, 327. The factor calculator does this automatically for any number.

Numbers mathematically connected to 327.

Frequently asked questions about 327

What are the factors of 327?

The factors of 327 are 1, 3, 109, and 327. That is 4 factors in total, counting both 1 and 327.

Is 327 a prime number?

No, 327 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 327 is also divisible by 3.

What is the prime factorization of 327?

The prime factorization of 327 is 3 × 109. Written out in full: 3 × 109 = 327. Its distinct prime factors are 3, 109.

What two numbers multiply to give 327?

There are 2 pairs of whole numbers that multiply to 327: 1 × 327, 3 × 109.

What is the sum of the factors of 327?

Adding all the factors of 327 together gives 440. Excluding 327 itself, the proper factors sum to 113.

Is 327 a perfect square?

No, 327 is not a perfect square. There is no whole number that multiplies by itself to give 327. The nearest perfect squares are 324 and 361.

What is the largest factor of 327 other than itself?

The largest factor of 327 apart from 327 itself is 109, since 327 ÷ 109 = 3.

How many factors does 327 have?

327 has 4 factors: 1, 3, 109, and 327. You can verify this from the prime factorization 3 × 109: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 327 down further with the prime factorization calculator, or compare 327 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.