Factors of 365

How to find the factors of 365

Test every whole number from 1 up to the square root of 365 (√365 ≈ 19.105). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 365 ÷ 1 = 365 — so 1 and 365 are factors
• 365 ÷ 2 = 182.5 — not a whole number
• 365 ÷ 3 = 121.667 — not a whole number
• 365 ÷ 4 = 91.25 — not a whole number
• 365 ÷ 5 = 73 — so 5 and 73 are factors
• 365 ÷ 6 = 60.833 — not a whole number
• 365 ÷ 7 = 52.143 — not a whole number
• 365 ÷ 8 = 45.625 — not a whole number
• 365 ÷ 9 = 40.556 — not a whole number
• 365 ÷ 10 = 36.5 — not a whole number
• 365 ÷ 11 = 33.182 — not a whole number
• 365 ÷ 12 = 30.417 — not a whole number
• 365 ÷ 13 = 28.077 — not a whole number
• 365 ÷ 14 = 26.071 — not a whole number
• 365 ÷ 15 = 24.333 — not a whole number
• 365 ÷ 16 = 22.813 — not a whole number
• 365 ÷ 17 = 21.471 — not a whole number
• 365 ÷ 18 = 20.278 — not a whole number
• 365 ÷ 19 = 19.211 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 73 and 365.

Prime factorization of 365

Divide by the smallest prime that fits, and keep going until the quotient is 1:

The primes you divided by give 365 = 5 × 73. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 365

• 365 is a composite number.
• The sum of all its factors is 444; the sum of its proper factors (excluding 365) is 79, which makes it a deficient number (its proper factors add up to less than itself).
• 365 is not a perfect square, so its factors pair up evenly.
• Multiples of 365 include 730, 1,095, 1,460, 1,825 and so on.

Factors vs. multiples

Factors of 365 are the numbers that divide into it; multiples of 365 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.