Factors of 137
The factors of 137 are 1 and 137. Since 137 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 138, and its prime factorization is simply 137 itself.
All factors of 137
Here are all 2 factors of 137, listed from smallest to largest.
Factor pairs of 137
There is only one factor pair for 137, because it is prime.
Prime factorization of 137
137 is a prime number, so it cannot be broken down further. Its prime factorization is simply 137.
Properties of 137
| Number of factors | 2 |
|---|---|
| Sum of factors | 138 |
| Sum of proper factors | 1 |
| Prime factorization | 137 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 137 interesting
- 137 is a prime number, so its only factors are 1 and 137. 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 137 yourself
Divide 137 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 √137 ≈ 11.70, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 137. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 137.
Frequently asked questions about 137
What are the factors of 137?
Is 137 a prime number?
What is the prime factorization of 137?
What two numbers multiply to give 137?
What is the sum of the factors of 137?
Is 137 a perfect square?
What is the largest factor of 137 other than itself?
How many factors does 137 have?
Explore more
Try another number in the factor calculator, break 137 down further with the prime factorization calculator, or compare 137 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.