Factors of 308
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, and 308. In total, 308 has 12 factors. Its prime factorization is 2² × 7 × 11, and the sum of all its factors is 672.
All factors of 308
Here are all 12 factors of 308, listed from smallest to largest.
Factor pairs of 308
These 6 pairs of whole numbers each multiply to give 308.
Prime factorization of 308
Dividing 308 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 308 are 2, 7, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 308
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 308
| Number of factors | 12 |
|---|---|
| Sum of factors | 672 |
| Sum of proper factors | 364 |
| Prime factorization | 2² × 7 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 308 interesting
- 308 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 308 is an abundant number: its proper factors sum to 364, which is 56 more than 308 itself.
- 308 has 3 distinct prime factors (2, 7, 11), which is why it has so many divisors.
How to find the factors of 308 yourself
Divide 308 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 √308 ≈ 17.55, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 308.
Frequently asked questions about 308
What are the factors of 308?
Is 308 a prime number?
What is the prime factorization of 308?
What two numbers multiply to give 308?
What is the sum of the factors of 308?
Is 308 a perfect square?
What is the largest factor of 308 other than itself?
How many factors does 308 have?
Explore more
Try another number in the factor calculator, break 308 down further with the prime factorization calculator, or compare 308 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.