Factors of 388
The factors of 388 are 1, 2, 4, 97, 194, and 388. In total, 388 has 6 factors. Its prime factorization is 2² × 97, and the sum of all its factors is 686.
All factors of 388
Here are all 6 factors of 388, listed from smallest to largest.
Factor pairs of 388
These 3 pairs of whole numbers each multiply to give 388.
Prime factorization of 388
Dividing 388 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 388 are 2, 97. To factorize any other number, use the prime factorization calculator.
Factor tree of 388
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 388
| Number of factors | 6 |
|---|---|
| Sum of factors | 686 |
| Sum of proper factors | 298 |
| Prime factorization | 2² × 97 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 388 interesting
- 388 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 388 is a deficient number: its proper factors sum to 298, which is 90 less than 388 itself.
How to find the factors of 388 yourself
Divide 388 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 √388 ≈ 19.70, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 97, 194, 388. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 388.
Frequently asked questions about 388
What are the factors of 388?
Is 388 a prime number?
What is the prime factorization of 388?
What two numbers multiply to give 388?
What is the sum of the factors of 388?
Is 388 a perfect square?
What is the largest factor of 388 other than itself?
How many factors does 388 have?
Explore more
Try another number in the factor calculator, break 388 down further with the prime factorization calculator, or compare 388 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.