Factors of 338
The factors of 338 are 1, 2, 13, 26, 169, and 338. In total, 338 has 6 factors. Its prime factorization is 2 × 13², and the sum of all its factors is 549.
All factors of 338
Here are all 6 factors of 338, listed from smallest to largest.
Factor pairs of 338
These 3 pairs of whole numbers each multiply to give 338.
Prime factorization of 338
Dividing 338 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 338 are 2, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 338
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 338
| Number of factors | 6 |
|---|---|
| Sum of factors | 549 |
| Sum of proper factors | 211 |
| Prime factorization | 2 × 13² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 338 interesting
- 338 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.
- 338 is a deficient number: its proper factors sum to 211, which is 127 less than 338 itself.
How to find the factors of 338 yourself
Divide 338 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 √338 ≈ 18.38, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 13, 26, 169, 338. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 338.
Frequently asked questions about 338
What are the factors of 338?
Is 338 a prime number?
What is the prime factorization of 338?
What two numbers multiply to give 338?
What is the sum of the factors of 338?
Is 338 a perfect square?
What is the largest factor of 338 other than itself?
How many factors does 338 have?
Explore more
Try another number in the factor calculator, break 338 down further with the prime factorization calculator, or compare 338 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.