Factors of 967
The factors of 967 are 1 and 967. Since 967 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 968, and its prime factorization is simply 967 itself.
All factors of 967
Here are all 2 factors of 967, listed from smallest to largest.
Factor pairs of 967
There is only one factor pair for 967, because it is prime.
Prime factorization of 967
967 is a prime number, so it cannot be broken down further. Its prime factorization is simply 967.
Properties of 967
| Number of factors | 2 |
|---|---|
| Sum of factors | 968 |
| Sum of proper factors | 1 |
| Prime factorization | 967 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 967 interesting
- 967 is a prime number, so its only factors are 1 and 967. 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 967 yourself
Divide 967 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 √967 ≈ 31.10, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 967. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 967.
Frequently asked questions about 967
What are the factors of 967?
Is 967 a prime number?
What is the prime factorization of 967?
What two numbers multiply to give 967?
What is the sum of the factors of 967?
Is 967 a perfect square?
What is the largest factor of 967 other than itself?
How many factors does 967 have?
Explore more
Try another number in the factor calculator, break 967 down further with the prime factorization calculator, or compare 967 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.