Factors of 791
The factors of 791 are 1, 7, 113, and 791. In total, 791 has 4 factors. Its prime factorization is 7 × 113, and the sum of all its factors is 912.
All factors of 791
Here are all 4 factors of 791, listed from smallest to largest.
Factor pairs of 791
These 2 pairs of whole numbers each multiply to give 791.
Prime factorization of 791
Dividing 791 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 791 are 7, 113. To factorize any other number, use the prime factorization calculator.
Factor tree of 791
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 791
| Number of factors | 4 |
|---|---|
| Sum of factors | 912 |
| Sum of proper factors | 121 |
| Prime factorization | 7 × 113 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 791 interesting
- 791 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 791 is a deficient number: its proper factors sum to 121, which is 670 less than 791 itself.
How to find the factors of 791 yourself
Divide 791 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 √791 ≈ 28.12, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 113, 791. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 791.
Frequently asked questions about 791
What are the factors of 791?
Is 791 a prime number?
What is the prime factorization of 791?
What two numbers multiply to give 791?
What is the sum of the factors of 791?
Is 791 a perfect square?
What is the largest factor of 791 other than itself?
How many factors does 791 have?
Explore more
Try another number in the factor calculator, break 791 down further with the prime factorization calculator, or compare 791 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.