Factors of 367

How to find the factors of 367

Test every whole number from 1 up to the square root of 367 (√367 ≈ 19.157). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 367 ÷ 1 = 367 — so 1 and 367 are factors
• 367 ÷ 2 = 183.5 — not a whole number
• 367 ÷ 3 = 122.333 — not a whole number
• 367 ÷ 4 = 91.75 — not a whole number
• 367 ÷ 5 = 73.4 — not a whole number
• 367 ÷ 6 = 61.167 — not a whole number
• 367 ÷ 7 = 52.429 — not a whole number
• 367 ÷ 8 = 45.875 — not a whole number
• 367 ÷ 9 = 40.778 — not a whole number
• 367 ÷ 10 = 36.7 — not a whole number
• 367 ÷ 11 = 33.364 — not a whole number
• 367 ÷ 12 = 30.583 — not a whole number
• 367 ÷ 13 = 28.231 — not a whole number
• 367 ÷ 14 = 26.214 — not a whole number
• 367 ÷ 15 = 24.467 — not a whole number
• 367 ÷ 16 = 22.938 — not a whole number
• 367 ÷ 17 = 21.588 — not a whole number
• 367 ÷ 18 = 20.389 — not a whole number
• 367 ÷ 19 = 19.316 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 367.

Prime factorization of 367

367 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 367.

Properties of 367

• 367 is a prime number.
• The sum of all its factors is 368; the sum of its proper factors (excluding 367) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 367 is not a perfect square, so its factors pair up evenly.
• Multiples of 367 include 734, 1,101, 1,468, 1,835 and so on.

Factors vs. multiples

Factors of 367 are the numbers that divide into it; multiples of 367 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.