Factors of 814
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, and 814. In total, 814 has 8 factors. Its prime factorization is 2 × 11 × 37, and the sum of all its factors is 1368.
All factors of 814
Here are all 8 factors of 814, listed from smallest to largest.
Factor pairs of 814
These 4 pairs of whole numbers each multiply to give 814.
Prime factorization of 814
Dividing 814 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 814 are 2, 11, 37. To factorize any other number, use the prime factorization calculator.
Factor tree of 814
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 814
| Number of factors | 8 |
|---|---|
| Sum of factors | 1368 |
| Sum of proper factors | 554 |
| Prime factorization | 2 × 11 × 37 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 814 interesting
- 814 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.
- 814 is a deficient number: its proper factors sum to 554, which is 260 less than 814 itself.
- 814 has 3 distinct prime factors (2, 11, 37), which is why it has so many divisors.
How to find the factors of 814 yourself
Divide 814 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 √814 ≈ 28.53, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 11, 22, 37, 74, 407, 814. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 814.
Frequently asked questions about 814
What are the factors of 814?
Is 814 a prime number?
What is the prime factorization of 814?
What two numbers multiply to give 814?
What is the sum of the factors of 814?
Is 814 a perfect square?
What is the largest factor of 814 other than itself?
How many factors does 814 have?
Explore more
Try another number in the factor calculator, break 814 down further with the prime factorization calculator, or compare 814 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.