Factors of 337
The factors of 337 are 1 and 337. Since 337 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 338, and its prime factorization is simply 337 itself.
All factors of 337
Here are all 2 factors of 337, listed from smallest to largest.
Factor pairs of 337
There is only one factor pair for 337, because it is prime.
Prime factorization of 337
337 is a prime number, so it cannot be broken down further. Its prime factorization is simply 337.
Properties of 337
| Number of factors | 2 |
|---|---|
| Sum of factors | 338 |
| Sum of proper factors | 1 |
| Prime factorization | 337 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 337 interesting
- 337 is a prime number, so its only factors are 1 and 337. 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 337 yourself
Divide 337 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 √337 ≈ 18.36, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 337. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 337.
Frequently asked questions about 337
What are the factors of 337?
Is 337 a prime number?
What is the prime factorization of 337?
What two numbers multiply to give 337?
What is the sum of the factors of 337?
Is 337 a perfect square?
What is the largest factor of 337 other than itself?
How many factors does 337 have?
Explore more
Try another number in the factor calculator, break 337 down further with the prime factorization calculator, or compare 337 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.