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.
Factor pairs of 382
These 2 pairs of whole numbers each multiply to give 382.
Prime factorization of 382
Dividing 382 by the smallest prime at each step gives its prime factorization:
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.
Properties of 382
| Number of factors | 4 |
|---|---|
| Sum of factors | 576 |
| Sum of proper factors | 194 |
| Prime factorization | 2 × 191 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √382 ≈ 19.54, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 191, 382. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 382.
Frequently asked questions about 382
What are the factors of 382?
Is 382 a prime number?
What is the prime factorization of 382?
What two numbers multiply to give 382?
What is the sum of the factors of 382?
Is 382 a perfect square?
What is the largest factor of 382 other than itself?
How many factors does 382 have?
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.