Factor Calculator

Factors of 390

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390. In total, 390 has 16 factors. Its prime factorization is 2 × 3 × 5 × 13, and the sum of all its factors is 1008.

All factors of 390

Here are all 16 factors of 390, listed from smallest to largest.

123561013152630396578130195390

Factor pairs of 390

These 8 pairs of whole numbers each multiply to give 390.

1 × 390 = 390
2 × 195 = 390
3 × 130 = 390
5 × 78 = 390
6 × 65 = 390
10 × 39 = 390
13 × 30 = 390
15 × 26 = 390

Prime factorization of 390

Dividing 390 by the smallest prime at each step gives its prime factorization:

390 ÷ 2 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 390 = 2 × 3 × 5 × 13 = 2 × 3 × 5 × 13

The distinct prime factors of 390 are 2, 3, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 390

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

Factor tree of 3903902195365513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 390

Number of factors16
Sum of factors1008
Sum of proper factors618
Prime factorization2 × 3 × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 390 interesting

  • 390 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 390 is an abundant number: its proper factors sum to 618, which is 228 more than 390 itself.
  • 390 has 4 distinct prime factors (2, 3, 5, 13), which is why it has so many divisors.

How to find the factors of 390 yourself

Divide 390 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 √390 ≈ 19.75, because every factor above that pairs with one below it.

390 ÷ 1 = 390 ✓
390 ÷ 2 = 195 ✓
390 ÷ 3 = 130 ✓
390 ÷ 5 = 78 ✓
390 ÷ 6 = 65 ✓
390 ÷ 10 = 39 ✓
390 ÷ 13 = 30 ✓
390 ÷ 15 = 26 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. The factor calculator does this automatically for any number.

Numbers mathematically connected to 390.

Frequently asked questions about 390

What are the factors of 390?

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390. That is 16 factors in total, counting both 1 and 390.

Is 390 a prime number?

No, 390 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 390 is also divisible by 2.

What is the prime factorization of 390?

The prime factorization of 390 is 2 × 3 × 5 × 13. Written out in full: 2 × 3 × 5 × 13 = 390. Its distinct prime factors are 2, 3, 5, 13.

What two numbers multiply to give 390?

There are 8 pairs of whole numbers that multiply to 390: 1 × 390, 2 × 195, 3 × 130, 5 × 78, 6 × 65, 10 × 39, 13 × 30, 15 × 26.

What is the sum of the factors of 390?

Adding all the factors of 390 together gives 1008. Excluding 390 itself, the proper factors sum to 618.

Is 390 a perfect square?

No, 390 is not a perfect square. There is no whole number that multiplies by itself to give 390. The nearest perfect squares are 361 and 400.

What is the largest factor of 390 other than itself?

The largest factor of 390 apart from 390 itself is 195, since 390 ÷ 195 = 2.

How many factors does 390 have?

390 has 16 factors: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, and 390. You can verify this from the prime factorization 2 × 3 × 5 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 390 down further with the prime factorization calculator, or compare 390 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.