How to find the factors of 265
Test every whole number from 1 up to the square root of 265 (√265 ≈ 16.279). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 265 ÷ 1 = 265 — so 1 and 265 are factors
- 265 ÷ 2 = 132.5 — not a whole number
- 265 ÷ 3 = 88.333 — not a whole number
- 265 ÷ 4 = 66.25 — not a whole number
- 265 ÷ 5 = 53 — so 5 and 53 are factors
- 265 ÷ 6 = 44.167 — not a whole number
- 265 ÷ 7 = 37.857 — not a whole number
- 265 ÷ 8 = 33.125 — not a whole number
- 265 ÷ 9 = 29.444 — not a whole number
- 265 ÷ 10 = 26.5 — not a whole number
- 265 ÷ 11 = 24.091 — not a whole number
- 265 ÷ 12 = 22.083 — not a whole number
- 265 ÷ 13 = 20.385 — not a whole number
- 265 ÷ 14 = 18.929 — not a whole number
- 265 ÷ 15 = 17.667 — not a whole number
- 265 ÷ 16 = 16.563 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1, 5, 53 and 265.
Prime factorization of 265
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 265 = 5 × 53. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.
Properties of 265
- 265 is a composite number.
- The sum of all its factors is 324; the sum of its proper factors (excluding 265) is 59, which makes it a deficient number (its proper factors add up to less than itself).
- 265 is not a perfect square, so its factors pair up evenly.
- Multiples of 265 include 530, 795, 1,060, 1,325 and so on.
Factors vs. multiples
Factors of 265 are the numbers that divide into it; multiples of 265 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 265?
The factors of 265 are 1, 5, 53 and 265. Each of these divides 265 with no remainder.
How many factors does 265 have?
265 has 4 positive factors, which form 2 factor pairs. Counting negative factors as well doubles that to 8.
What is the prime factorization of 265?
265 = 5 × 53. Its distinct prime factors are 5 and 53.
Is 265 a prime number?
No. 265 is composite because it has 4 factors, more than the two a prime number has.