Factors of 38
The factors of 38 are 1, 2, 19, and 38. In total, 38 has 4 factors. Its prime factorization is 2 × 19, and the sum of all its factors is 60.
All factors of 38
Here are all 4 factors of 38, listed from smallest to largest.
Factor pairs of 38
These 2 pairs of whole numbers each multiply to give 38.
Prime factorization of 38
Dividing 38 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 38 are 2, 19. To factorize any other number, use the prime factorization calculator.
Factor tree of 38
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 38
| Number of factors | 4 |
|---|---|
| Sum of factors | 60 |
| Sum of proper factors | 22 |
| Prime factorization | 2 × 19 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 38 interesting
- 38 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.
- 38 is a deficient number: its proper factors sum to 22, which is 16 less than 38 itself.
How to find the factors of 38 yourself
Divide 38 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 √38 ≈ 6.16, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 19, 38. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 38.
Frequently asked questions about 38
What are the factors of 38?
Is 38 a prime number?
What is the prime factorization of 38?
What two numbers multiply to give 38?
What is the sum of the factors of 38?
Is 38 a perfect square?
What is the largest factor of 38 other than itself?
How many factors does 38 have?
Explore more
Try another number in the factor calculator, break 38 down further with the prime factorization calculator, or compare 38 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.