Factors of 115
The factors of 115 are 1, 5, 23, and 115. In total, 115 has 4 factors. Its prime factorization is 5 × 23, and the sum of all its factors is 144.
All factors of 115
Here are all 4 factors of 115, listed from smallest to largest.
Factor pairs of 115
These 2 pairs of whole numbers each multiply to give 115.
Prime factorization of 115
Dividing 115 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 115 are 5, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 115
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 115
| Number of factors | 4 |
|---|---|
| Sum of factors | 144 |
| Sum of proper factors | 29 |
| Prime factorization | 5 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 115 interesting
- 115 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.
- 115 is a deficient number: its proper factors sum to 29, which is 86 less than 115 itself.
How to find the factors of 115 yourself
Divide 115 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 √115 ≈ 10.72, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 23, 115. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 115.
Frequently asked questions about 115
What are the factors of 115?
Is 115 a prime number?
What is the prime factorization of 115?
What two numbers multiply to give 115?
What is the sum of the factors of 115?
Is 115 a perfect square?
What is the largest factor of 115 other than itself?
How many factors does 115 have?
Explore more
Try another number in the factor calculator, break 115 down further with the prime factorization calculator, or compare 115 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.