Factors of 397
The factors of 397 are 1 and 397. Since 397 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 398, and its prime factorization is simply 397 itself.
All factors of 397
Here are all 2 factors of 397, listed from smallest to largest.
Factor pairs of 397
There is only one factor pair for 397, because it is prime.
Prime factorization of 397
397 is a prime number, so it cannot be broken down further. Its prime factorization is simply 397.
Properties of 397
| Number of factors | 2 |
|---|---|
| Sum of factors | 398 |
| Sum of proper factors | 1 |
| Prime factorization | 397 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 397 interesting
- 397 is a prime number, so its only factors are 1 and 397. 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 397 yourself
Divide 397 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 √397 ≈ 19.92, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 397. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 397.
Frequently asked questions about 397
What are the factors of 397?
Is 397 a prime number?
What is the prime factorization of 397?
What two numbers multiply to give 397?
What is the sum of the factors of 397?
Is 397 a perfect square?
What is the largest factor of 397 other than itself?
How many factors does 397 have?
Explore more
Try another number in the factor calculator, break 397 down further with the prime factorization calculator, or compare 397 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.