Factors of 328
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328. In total, 328 has 8 factors. Its prime factorization is 2³ × 41, and the sum of all its factors is 630.
All factors of 328
Here are all 8 factors of 328, listed from smallest to largest.
Factor pairs of 328
These 4 pairs of whole numbers each multiply to give 328.
Prime factorization of 328
Dividing 328 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 328 are 2, 41. To factorize any other number, use the prime factorization calculator.
Factor tree of 328
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 328
| Number of factors | 8 |
|---|---|
| Sum of factors | 630 |
| Sum of proper factors | 302 |
| Prime factorization | 2³ × 41 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 328 interesting
- 328 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 328 is a deficient number: its proper factors sum to 302, which is 26 less than 328 itself.
How to find the factors of 328 yourself
Divide 328 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 √328 ≈ 18.11, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 41, 82, 164, 328. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 328.
Frequently asked questions about 328
What are the factors of 328?
Is 328 a prime number?
What is the prime factorization of 328?
What two numbers multiply to give 328?
What is the sum of the factors of 328?
Is 328 a perfect square?
What is the largest factor of 328 other than itself?
How many factors does 328 have?
Explore more
Try another number in the factor calculator, break 328 down further with the prime factorization calculator, or compare 328 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.