Factors of 107
The factors of 107 are 1 and 107. Since 107 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 108, and its prime factorization is simply 107 itself.
All factors of 107
Here are all 2 factors of 107, listed from smallest to largest.
Factor pairs of 107
There is only one factor pair for 107, because it is prime.
Prime factorization of 107
107 is a prime number, so it cannot be broken down further. Its prime factorization is simply 107.
Properties of 107
| Number of factors | 2 |
|---|---|
| Sum of factors | 108 |
| Sum of proper factors | 1 |
| Prime factorization | 107 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 107 interesting
- 107 is a prime number, so its only factors are 1 and 107. 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 107 yourself
Divide 107 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 √107 ≈ 10.34, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 107. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 107.
Frequently asked questions about 107
What are the factors of 107?
Is 107 a prime number?
What is the prime factorization of 107?
What two numbers multiply to give 107?
What is the sum of the factors of 107?
Is 107 a perfect square?
What is the largest factor of 107 other than itself?
How many factors does 107 have?
Explore more
Try another number in the factor calculator, break 107 down further with the prime factorization calculator, or compare 107 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.