Factors of 317
The factors of 317 are 1 and 317. Since 317 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 318, and its prime factorization is simply 317 itself.
All factors of 317
Here are all 2 factors of 317, listed from smallest to largest.
Factor pairs of 317
There is only one factor pair for 317, because it is prime.
Prime factorization of 317
317 is a prime number, so it cannot be broken down further. Its prime factorization is simply 317.
Properties of 317
| Number of factors | 2 |
|---|---|
| Sum of factors | 318 |
| Sum of proper factors | 1 |
| Prime factorization | 317 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 317 interesting
- 317 is a prime number, so its only factors are 1 and 317. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 317 yourself
Divide 317 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 √317 ≈ 17.80, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 317. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 317.
Frequently asked questions about 317
What are the factors of 317?
Is 317 a prime number?
What is the prime factorization of 317?
What two numbers multiply to give 317?
What is the sum of the factors of 317?
Is 317 a perfect square?
What is the largest factor of 317 other than itself?
How many factors does 317 have?
Explore more
Try another number in the factor calculator, break 317 down further with the prime factorization calculator, or compare 317 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.