Factor Calculator

Factors of 387

The factors of 387 are 1, 3, 9, 43, 129, and 387. In total, 387 has 6 factors. Its prime factorization is 3² × 43, and the sum of all its factors is 572.

All factors of 387

Here are all 6 factors of 387, listed from smallest to largest.

13943129387

Factor pairs of 387

These 3 pairs of whole numbers each multiply to give 387.

1 × 387 = 387
3 × 129 = 387
9 × 43 = 387

Prime factorization of 387

Dividing 387 by the smallest prime at each step gives its prime factorization:

387 ÷ 3 = 129
129 ÷ 3 = 43
43 ÷ 43 = 1
Result: 387 = 3 × 3 × 43 = 3² × 43

The distinct prime factors of 387 are 3, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 387

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

Factor tree of 3873873129343
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 387

Number of factors6
Sum of factors572
Sum of proper factors185
Prime factorization3² × 43
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 387 interesting

  • 387 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.
  • 387 is a deficient number: its proper factors sum to 185, which is 202 less than 387 itself.

How to find the factors of 387 yourself

Divide 387 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 √38719.67, because every factor above that pairs with one below it.

387 ÷ 1 = 387
387 ÷ 3 = 129
387 ÷ 9 = 43

Reading both columns gives every factor: 1, 3, 9, 43, 129, 387. The factor calculator does this automatically for any number.

Frequently asked questions about 387

What are the factors of 387?

The factors of 387 are 1, 3, 9, 43, 129, and 387. That is 6 factors in total, counting both 1 and 387.

Is 387 a prime number?

No, 387 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 387 is also divisible by 3.

What is the prime factorization of 387?

The prime factorization of 387 is 3² × 43. Written out in full: 3 × 3 × 43 = 387. Its distinct prime factors are 3, 43.

What two numbers multiply to give 387?

There are 3 pairs of whole numbers that multiply to 387: 1 × 387, 3 × 129, 9 × 43.

What is the sum of the factors of 387?

Adding all the factors of 387 together gives 572. Excluding 387 itself, the proper factors sum to 185.

Is 387 a perfect square?

No, 387 is not a perfect square. There is no whole number that multiplies by itself to give 387. The nearest perfect squares are 361 and 400.

What is the largest factor of 387 other than itself?

The largest factor of 387 apart from 387 itself is 129, since 387 ÷ 129 = 3.

How many factors does 387 have?

387 has 6 factors: 1, 3, 9, 43, 129, and 387. You can verify this from the prime factorization 3² × 43: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 387 down further with the prime factorization calculator, or compare 387 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.