Factors of 334
The factors of 334 are 1, 2, 167, and 334. In total, 334 has 4 factors. Its prime factorization is 2 × 167, and the sum of all its factors is 504.
All factors of 334
Here are all 4 factors of 334, listed from smallest to largest.
Factor pairs of 334
These 2 pairs of whole numbers each multiply to give 334.
Prime factorization of 334
Dividing 334 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 334 are 2, 167. To factorize any other number, use the prime factorization calculator.
Factor tree of 334
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 334
| Number of factors | 4 |
|---|---|
| Sum of factors | 504 |
| Sum of proper factors | 170 |
| Prime factorization | 2 × 167 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 334 interesting
- 334 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.
- 334 is a deficient number: its proper factors sum to 170, which is 164 less than 334 itself.
How to find the factors of 334 yourself
Divide 334 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 √334 ≈ 18.28, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 167, 334. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 334.
Frequently asked questions about 334
What are the factors of 334?
Is 334 a prime number?
What is the prime factorization of 334?
What two numbers multiply to give 334?
What is the sum of the factors of 334?
Is 334 a perfect square?
What is the largest factor of 334 other than itself?
How many factors does 334 have?
Explore more
Try another number in the factor calculator, break 334 down further with the prime factorization calculator, or compare 334 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.