How to find the factors of 239
Test every whole number from 1 up to the square root of 239 (√239 ≈ 15.460). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 239 ÷ 1 = 239 — so 1 and 239 are factors
- 239 ÷ 2 = 119.5 — not a whole number
- 239 ÷ 3 = 79.667 — not a whole number
- 239 ÷ 4 = 59.75 — not a whole number
- 239 ÷ 5 = 47.8 — not a whole number
- 239 ÷ 6 = 39.833 — not a whole number
- 239 ÷ 7 = 34.143 — not a whole number
- 239 ÷ 8 = 29.875 — not a whole number
- 239 ÷ 9 = 26.556 — not a whole number
- 239 ÷ 10 = 23.9 — not a whole number
- 239 ÷ 11 = 21.727 — not a whole number
- 239 ÷ 12 = 19.917 — not a whole number
- 239 ÷ 13 = 18.385 — not a whole number
- 239 ÷ 14 = 17.071 — not a whole number
- 239 ÷ 15 = 15.933 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1 and 239.
Prime factorization of 239
239 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 239.
Properties of 239
- 239 is a prime number.
- The sum of all its factors is 240; the sum of its proper factors (excluding 239) is 1, which makes it a deficient number (its proper factors add up to less than itself).
- 239 is not a perfect square, so its factors pair up evenly.
- Multiples of 239 include 478, 717, 956, 1,195 and so on.
Factors vs. multiples
Factors of 239 are the numbers that divide into it; multiples of 239 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 239?
The factors of 239 are 1 and 239. Each of these divides 239 with no remainder.
How many factors does 239 have?
239 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.
What is the prime factorization of 239?
239 = 239. 239 is prime, so it is its own prime factorization.
Is 239 a prime number?
Yes. 239 is prime because its only factors are 1 and 239.