Factors of 309
The factors of 309 are 1, 3, 103, and 309. In total, 309 has 4 factors. Its prime factorization is 3 × 103, and the sum of all its factors is 416.
All factors of 309
Here are all 4 factors of 309, listed from smallest to largest.
Factor pairs of 309
These 2 pairs of whole numbers each multiply to give 309.
Prime factorization of 309
Dividing 309 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 309 are 3, 103. To factorize any other number, use the prime factorization calculator.
Factor tree of 309
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 309
| Number of factors | 4 |
|---|---|
| Sum of factors | 416 |
| Sum of proper factors | 107 |
| Prime factorization | 3 × 103 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 309 interesting
- 309 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.
- 309 is a deficient number: its proper factors sum to 107, which is 202 less than 309 itself.
How to find the factors of 309 yourself
Divide 309 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 √309 ≈ 17.58, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 103, 309. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 309.
Frequently asked questions about 309
What are the factors of 309?
Is 309 a prime number?
What is the prime factorization of 309?
What two numbers multiply to give 309?
What is the sum of the factors of 309?
Is 309 a perfect square?
What is the largest factor of 309 other than itself?
How many factors does 309 have?
Explore more
Try another number in the factor calculator, break 309 down further with the prime factorization calculator, or compare 309 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.