Factors of 816
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, and 816. In total, 816 has 20 factors. Its prime factorization is 2⁴ × 3 × 17, and the sum of all its factors is 2232.
All factors of 816
Here are all 20 factors of 816, listed from smallest to largest.
Factor pairs of 816
These 10 pairs of whole numbers each multiply to give 816.
Prime factorization of 816
Dividing 816 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 816 are 2, 3, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 816
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 816
| Number of factors | 20 |
|---|---|
| Sum of factors | 2232 |
| Sum of proper factors | 1416 |
| Prime factorization | 2⁴ × 3 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 816 interesting
- 816 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 10 different ways.
- 816 is an abundant number: its proper factors sum to 1416, which is 600 more than 816 itself.
- 816 has 3 distinct prime factors (2, 3, 17), which is why it has so many divisors.
How to find the factors of 816 yourself
Divide 816 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 √816 ≈ 28.57, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 816.
Frequently asked questions about 816
What are the factors of 816?
Is 816 a prime number?
What is the prime factorization of 816?
What two numbers multiply to give 816?
What is the sum of the factors of 816?
Is 816 a perfect square?
What is the largest factor of 816 other than itself?
How many factors does 816 have?
Explore more
Try another number in the factor calculator, break 816 down further with the prime factorization calculator, or compare 816 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.