Factor Calculator

Factors of 381

The factors of 381 are 1, 3, 127, and 381. In total, 381 has 4 factors. Its prime factorization is 3 × 127, and the sum of all its factors is 512.

All factors of 381

Here are all 4 factors of 381, listed from smallest to largest.

13127381

Factor pairs of 381

These 2 pairs of whole numbers each multiply to give 381.

1 × 381 = 381
3 × 127 = 381

Prime factorization of 381

Dividing 381 by the smallest prime at each step gives its prime factorization:

381 ÷ 3 = 127
127 ÷ 127 = 1
Result: 381 = 3 × 127 = 3 × 127

The distinct prime factors of 381 are 3, 127. To factorize any other number, use the prime factorization calculator.

Factor tree of 381

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

Factor tree of 3813813127
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 381

Number of factors4
Sum of factors512
Sum of proper factors131
Prime factorization3 × 127
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 381 interesting

  • 381 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.
  • 381 is a deficient number: its proper factors sum to 131, which is 250 less than 381 itself.

How to find the factors of 381 yourself

Divide 381 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 √38119.52, because every factor above that pairs with one below it.

381 ÷ 1 = 381
381 ÷ 3 = 127

Reading both columns gives every factor: 1, 3, 127, 381. The factor calculator does this automatically for any number.

Frequently asked questions about 381

What are the factors of 381?

The factors of 381 are 1, 3, 127, and 381. That is 4 factors in total, counting both 1 and 381.

Is 381 a prime number?

No, 381 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 381 is also divisible by 3.

What is the prime factorization of 381?

The prime factorization of 381 is 3 × 127. Written out in full: 3 × 127 = 381. Its distinct prime factors are 3, 127.

What two numbers multiply to give 381?

There are 2 pairs of whole numbers that multiply to 381: 1 × 381, 3 × 127.

What is the sum of the factors of 381?

Adding all the factors of 381 together gives 512. Excluding 381 itself, the proper factors sum to 131.

Is 381 a perfect square?

No, 381 is not a perfect square. There is no whole number that multiplies by itself to give 381. The nearest perfect squares are 361 and 400.

What is the largest factor of 381 other than itself?

The largest factor of 381 apart from 381 itself is 127, since 381 ÷ 127 = 3.

How many factors does 381 have?

381 has 4 factors: 1, 3, 127, and 381. You can verify this from the prime factorization 3 × 127: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 381 down further with the prime factorization calculator, or compare 381 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.