Factor Calculator

Factors of 382

The factors of 382 are 1, 2, 191, and 382. In total, 382 has 4 factors. Its prime factorization is 2 × 191, and the sum of all its factors is 576.

All factors of 382

Here are all 4 factors of 382, listed from smallest to largest.

12191382

Factor pairs of 382

These 2 pairs of whole numbers each multiply to give 382.

1 × 382 = 382
2 × 191 = 382

Prime factorization of 382

Dividing 382 by the smallest prime at each step gives its prime factorization:

382 ÷ 2 = 191
191 ÷ 191 = 1
Result: 382 = 2 × 191 = 2 × 191

The distinct prime factors of 382 are 2, 191. To factorize any other number, use the prime factorization calculator.

Factor tree of 382

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

Factor tree of 3823822191
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 382

Number of factors4
Sum of factors576
Sum of proper factors194
Prime factorization2 × 191
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 382 interesting

  • 382 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.
  • 382 is a deficient number: its proper factors sum to 194, which is 188 less than 382 itself.

How to find the factors of 382 yourself

Divide 382 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 √38219.54, because every factor above that pairs with one below it.

382 ÷ 1 = 382
382 ÷ 2 = 191

Reading both columns gives every factor: 1, 2, 191, 382. The factor calculator does this automatically for any number.

Frequently asked questions about 382

What are the factors of 382?

The factors of 382 are 1, 2, 191, and 382. That is 4 factors in total, counting both 1 and 382.

Is 382 a prime number?

No, 382 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 382 is also divisible by 2.

What is the prime factorization of 382?

The prime factorization of 382 is 2 × 191. Written out in full: 2 × 191 = 382. Its distinct prime factors are 2, 191.

What two numbers multiply to give 382?

There are 2 pairs of whole numbers that multiply to 382: 1 × 382, 2 × 191.

What is the sum of the factors of 382?

Adding all the factors of 382 together gives 576. Excluding 382 itself, the proper factors sum to 194.

Is 382 a perfect square?

No, 382 is not a perfect square. There is no whole number that multiplies by itself to give 382. The nearest perfect squares are 361 and 400.

What is the largest factor of 382 other than itself?

The largest factor of 382 apart from 382 itself is 191, since 382 ÷ 191 = 2.

How many factors does 382 have?

382 has 4 factors: 1, 2, 191, and 382. You can verify this from the prime factorization 2 × 191: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 382 down further with the prime factorization calculator, or compare 382 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.