Factors of 808
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, and 808. In total, 808 has 8 factors. Its prime factorization is 2³ × 101, and the sum of all its factors is 1530.
All factors of 808
Here are all 8 factors of 808, listed from smallest to largest.
Factor pairs of 808
These 4 pairs of whole numbers each multiply to give 808.
Prime factorization of 808
Dividing 808 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 808 are 2, 101. To factorize any other number, use the prime factorization calculator.
Factor tree of 808
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 808
| Number of factors | 8 |
|---|---|
| Sum of factors | 1530 |
| Sum of proper factors | 722 |
| Prime factorization | 2³ × 101 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 808 interesting
- 808 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.
- 808 is a deficient number: its proper factors sum to 722, which is 86 less than 808 itself.
How to find the factors of 808 yourself
Divide 808 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 √808 ≈ 28.43, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 101, 202, 404, 808. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 808.
Frequently asked questions about 808
What are the factors of 808?
Is 808 a prime number?
What is the prime factorization of 808?
What two numbers multiply to give 808?
What is the sum of the factors of 808?
Is 808 a perfect square?
What is the largest factor of 808 other than itself?
How many factors does 808 have?
Explore more
Try another number in the factor calculator, break 808 down further with the prime factorization calculator, or compare 808 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.