Factor Calculator

Factors of 380

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380. In total, 380 has 12 factors. Its prime factorization is 2² × 5 × 19, and the sum of all its factors is 840.

All factors of 380

Here are all 12 factors of 380, listed from smallest to largest.

1245101920387695190380

Factor pairs of 380

These 6 pairs of whole numbers each multiply to give 380.

1 × 380 = 380
2 × 190 = 380
4 × 95 = 380
5 × 76 = 380
10 × 38 = 380
19 × 20 = 380

Prime factorization of 380

Dividing 380 by the smallest prime at each step gives its prime factorization:

380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 380 = 2 × 2 × 5 × 19 = 2² × 5 × 19

The distinct prime factors of 380 are 2, 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 380

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

Factor tree of 3803802190295519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 380

Number of factors12
Sum of factors840
Sum of proper factors460
Prime factorization2² × 5 × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 380 interesting

  • 380 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 380 is an abundant number: its proper factors sum to 460, which is 80 more than 380 itself.
  • 380 has 3 distinct prime factors (2, 5, 19), which is why it has so many divisors.

How to find the factors of 380 yourself

Divide 380 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 √380 ≈ 19.49, because every factor above that pairs with one below it.

380 ÷ 1 = 380 ✓
380 ÷ 2 = 190 ✓
380 ÷ 4 = 95 ✓
380 ÷ 5 = 76 ✓
380 ÷ 10 = 38 ✓
380 ÷ 19 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. The factor calculator does this automatically for any number.

Numbers mathematically connected to 380.

Frequently asked questions about 380

What are the factors of 380?

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380. That is 12 factors in total, counting both 1 and 380.

Is 380 a prime number?

No, 380 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 380 is also divisible by 2.

What is the prime factorization of 380?

The prime factorization of 380 is 2² × 5 × 19. Written out in full: 2 × 2 × 5 × 19 = 380. Its distinct prime factors are 2, 5, 19.

What two numbers multiply to give 380?

There are 6 pairs of whole numbers that multiply to 380: 1 × 380, 2 × 190, 4 × 95, 5 × 76, 10 × 38, 19 × 20.

What is the sum of the factors of 380?

Adding all the factors of 380 together gives 840. Excluding 380 itself, the proper factors sum to 460.

Is 380 a perfect square?

No, 380 is not a perfect square. There is no whole number that multiplies by itself to give 380. The nearest perfect squares are 361 and 400.

What is the largest factor of 380 other than itself?

The largest factor of 380 apart from 380 itself is 190, since 380 ÷ 190 = 2.

How many factors does 380 have?

380 has 12 factors: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380. You can verify this from the prime factorization 2² × 5 × 19: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 380 down further with the prime factorization calculator, or compare 380 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.