Factors of 971
The factors of 971 are 1 and 971. Since 971 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 972, and its prime factorization is simply 971 itself.
All factors of 971
Here are all 2 factors of 971, listed from smallest to largest.
Factor pairs of 971
There is only one factor pair for 971, because it is prime.
Prime factorization of 971
971 is a prime number, so it cannot be broken down further. Its prime factorization is simply 971.
Properties of 971
| Number of factors | 2 |
|---|---|
| Sum of factors | 972 |
| Sum of proper factors | 1 |
| Prime factorization | 971 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 971 interesting
- 971 is a prime number, so its only factors are 1 and 971. 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 971 yourself
Divide 971 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 √971 ≈ 31.16, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 971. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 971.
Frequently asked questions about 971
What are the factors of 971?
Is 971 a prime number?
What is the prime factorization of 971?
What two numbers multiply to give 971?
What is the sum of the factors of 971?
Is 971 a perfect square?
What is the largest factor of 971 other than itself?
How many factors does 971 have?
Explore more
Try another number in the factor calculator, break 971 down further with the prime factorization calculator, or compare 971 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.