How to find the factors of 373
Test every whole number from 1 up to the square root of 373 (√373 ≈ 19.313). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 373 ÷ 1 = 373 — so 1 and 373 are factors
- 373 ÷ 2 = 186.5 — not a whole number
- 373 ÷ 3 = 124.333 — not a whole number
- 373 ÷ 4 = 93.25 — not a whole number
- 373 ÷ 5 = 74.6 — not a whole number
- 373 ÷ 6 = 62.167 — not a whole number
- 373 ÷ 7 = 53.286 — not a whole number
- 373 ÷ 8 = 46.625 — not a whole number
- 373 ÷ 9 = 41.444 — not a whole number
- 373 ÷ 10 = 37.3 — not a whole number
- 373 ÷ 11 = 33.909 — not a whole number
- 373 ÷ 12 = 31.083 — not a whole number
- 373 ÷ 13 = 28.692 — not a whole number
- 373 ÷ 14 = 26.643 — not a whole number
- 373 ÷ 15 = 24.867 — not a whole number
- 373 ÷ 16 = 23.313 — not a whole number
- 373 ÷ 17 = 21.941 — not a whole number
- 373 ÷ 18 = 20.722 — not a whole number
- 373 ÷ 19 = 19.632 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1 and 373.
Prime factorization of 373
373 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 373.
Properties of 373
- 373 is a prime number.
- The sum of all its factors is 374; the sum of its proper factors (excluding 373) is 1, which makes it a deficient number (its proper factors add up to less than itself).
- 373 is not a perfect square, so its factors pair up evenly.
- Multiples of 373 include 746, 1,119, 1,492, 1,865 and so on.
Factors vs. multiples
Factors of 373 are the numbers that divide into it; multiples of 373 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 373?
The factors of 373 are 1 and 373. Each of these divides 373 with no remainder.
How many factors does 373 have?
373 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.
What is the prime factorization of 373?
373 = 373. 373 is prime, so it is its own prime factorization.
Is 373 a prime number?
Yes. 373 is prime because its only factors are 1 and 373.