Factors of 367
The factors of 367 are 1 and 367. Since 367 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 368, and its prime factorization is simply 367 itself.
All factors of 367
Here are all 2 factors of 367, listed from smallest to largest.
Factor pairs of 367
There is only one factor pair for 367, because it is prime.
Prime factorization of 367
367 is a prime number, so it cannot be broken down further. Its prime factorization is simply 367.
Properties of 367
| Number of factors | 2 |
|---|---|
| Sum of factors | 368 |
| Sum of proper factors | 1 |
| Prime factorization | 367 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 367 interesting
- 367 is a prime number, so its only factors are 1 and 367. 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 367 yourself
Divide 367 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 √367 ≈ 19.16, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 367. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 367.
Frequently asked questions about 367
What are the factors of 367?
Is 367 a prime number?
What is the prime factorization of 367?
What two numbers multiply to give 367?
What is the sum of the factors of 367?
Is 367 a perfect square?
What is the largest factor of 367 other than itself?
How many factors does 367 have?
Explore more
Try another number in the factor calculator, break 367 down further with the prime factorization calculator, or compare 367 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.