Factors of 113
The factors of 113 are 1 and 113. Since 113 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 114, and its prime factorization is simply 113 itself.
All factors of 113
Here are all 2 factors of 113, listed from smallest to largest.
Factor pairs of 113
There is only one factor pair for 113, because it is prime.
Prime factorization of 113
113 is a prime number, so it cannot be broken down further. Its prime factorization is simply 113.
Properties of 113
| Number of factors | 2 |
|---|---|
| Sum of factors | 114 |
| Sum of proper factors | 1 |
| Prime factorization | 113 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 113 interesting
- 113 is a prime number, so its only factors are 1 and 113. 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 113 yourself
Divide 113 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 √113 ≈ 10.63, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 113. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 113.
Frequently asked questions about 113
What are the factors of 113?
Is 113 a prime number?
What is the prime factorization of 113?
What two numbers multiply to give 113?
What is the sum of the factors of 113?
Is 113 a perfect square?
What is the largest factor of 113 other than itself?
How many factors does 113 have?
Explore more
Try another number in the factor calculator, break 113 down further with the prime factorization calculator, or compare 113 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.