Factors of 329
The factors of 329 are 1, 7, 47, and 329. In total, 329 has 4 factors. Its prime factorization is 7 × 47, and the sum of all its factors is 384.
All factors of 329
Here are all 4 factors of 329, listed from smallest to largest.
Factor pairs of 329
These 2 pairs of whole numbers each multiply to give 329.
Prime factorization of 329
Dividing 329 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 329 are 7, 47. To factorize any other number, use the prime factorization calculator.
Factor tree of 329
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 329
| Number of factors | 4 |
|---|---|
| Sum of factors | 384 |
| Sum of proper factors | 55 |
| Prime factorization | 7 × 47 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 329 interesting
- 329 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.
- 329 is a deficient number: its proper factors sum to 55, which is 274 less than 329 itself.
How to find the factors of 329 yourself
Divide 329 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 √329 ≈ 18.14, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 47, 329. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 329.
Frequently asked questions about 329
What are the factors of 329?
Is 329 a prime number?
What is the prime factorization of 329?
What two numbers multiply to give 329?
What is the sum of the factors of 329?
Is 329 a perfect square?
What is the largest factor of 329 other than itself?
How many factors does 329 have?
Explore more
Try another number in the factor calculator, break 329 down further with the prime factorization calculator, or compare 329 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.