Factors of 91
The factors of 91 are 1, 7, 13, and 91. In total, 91 has 4 factors. Its prime factorization is 7 × 13, and the sum of all its factors is 112.
All factors of 91
Here are all 4 factors of 91, listed from smallest to largest.
Factor pairs of 91
These 2 pairs of whole numbers each multiply to give 91.
Prime factorization of 91
Dividing 91 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 91 are 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 91
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 91
| Number of factors | 4 |
|---|---|
| Sum of factors | 112 |
| Sum of proper factors | 21 |
| Prime factorization | 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 91 interesting
- 91 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.
- 91 is a deficient number: its proper factors sum to 21, which is 70 less than 91 itself.
- 91 is a triangular number — it is the sum of the first 13 whole numbers (1 + 2 + … + 13 = 91).
How to find the factors of 91 yourself
Divide 91 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 √91 ≈ 9.54, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 13, 91. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 91.
Frequently asked questions about 91
What are the factors of 91?
Is 91 a prime number?
What is the prime factorization of 91?
What two numbers multiply to give 91?
What is the sum of the factors of 91?
Is 91 a perfect square?
What is the largest factor of 91 other than itself?
How many factors does 91 have?
Explore more
Try another number in the factor calculator, break 91 down further with the prime factorization calculator, or compare 91 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.