How to find the factors of 173
Test every whole number from 1 up to the square root of 173 (√173 ≈ 13.153). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 173 ÷ 1 = 173 — so 1 and 173 are factors
- 173 ÷ 2 = 86.5 — not a whole number
- 173 ÷ 3 = 57.667 — not a whole number
- 173 ÷ 4 = 43.25 — not a whole number
- 173 ÷ 5 = 34.6 — not a whole number
- 173 ÷ 6 = 28.833 — not a whole number
- 173 ÷ 7 = 24.714 — not a whole number
- 173 ÷ 8 = 21.625 — not a whole number
- 173 ÷ 9 = 19.222 — not a whole number
- 173 ÷ 10 = 17.3 — not a whole number
- 173 ÷ 11 = 15.727 — not a whole number
- 173 ÷ 12 = 14.417 — not a whole number
- 173 ÷ 13 = 13.308 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1 and 173.
Prime factorization of 173
173 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 173.
Properties of 173
- 173 is a prime number.
- The sum of all its factors is 174; the sum of its proper factors (excluding 173) is 1, which makes it a deficient number (its proper factors add up to less than itself).
- 173 is not a perfect square, so its factors pair up evenly.
- Multiples of 173 include 346, 519, 692, 865 and so on.
Factors vs. multiples
Factors of 173 are the numbers that divide into it; multiples of 173 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.
Frequently asked questions
What are the factors of 173?
The factors of 173 are 1 and 173. Each of these divides 173 with no remainder.
How many factors does 173 have?
173 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.
What is the prime factorization of 173?
173 = 173. 173 is prime, so it is its own prime factorization.
Is 173 a prime number?
Yes. 173 is prime because its only factors are 1 and 173.