Factors of 173
The factors of 173 are 1 and 173. Since 173 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 174, and its prime factorization is simply 173 itself.
All factors of 173
Here are all 2 factors of 173, listed from smallest to largest.
Factor pairs of 173
There is only one factor pair for 173, because it is prime.
Prime factorization of 173
173 is a prime number, so it cannot be broken down further. Its prime factorization is simply 173.
Properties of 173
| Number of factors | 2 |
|---|---|
| Sum of factors | 174 |
| Sum of proper factors | 1 |
| Prime factorization | 173 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 173 interesting
- 173 is a prime number, so its only factors are 1 and 173. 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 173 yourself
Divide 173 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 √173 ≈ 13.15, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 173. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 173.
Frequently asked questions about 173
What are the factors of 173?
Is 173 a prime number?
What is the prime factorization of 173?
What two numbers multiply to give 173?
What is the sum of the factors of 173?
Is 173 a perfect square?
What is the largest factor of 173 other than itself?
How many factors does 173 have?
Explore more
Try another number in the factor calculator, break 173 down further with the prime factorization calculator, or compare 173 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.