Factors of 359

How to find the factors of 359

Test every whole number from 1 up to the square root of 359 (√359 ≈ 18.947). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 359 ÷ 1 = 359 — so 1 and 359 are factors
• 359 ÷ 2 = 179.5 — not a whole number
• 359 ÷ 3 = 119.667 — not a whole number
• 359 ÷ 4 = 89.75 — not a whole number
• 359 ÷ 5 = 71.8 — not a whole number
• 359 ÷ 6 = 59.833 — not a whole number
• 359 ÷ 7 = 51.286 — not a whole number
• 359 ÷ 8 = 44.875 — not a whole number
• 359 ÷ 9 = 39.889 — not a whole number
• 359 ÷ 10 = 35.9 — not a whole number
• 359 ÷ 11 = 32.636 — not a whole number
• 359 ÷ 12 = 29.917 — not a whole number
• 359 ÷ 13 = 27.615 — not a whole number
• 359 ÷ 14 = 25.643 — not a whole number
• 359 ÷ 15 = 23.933 — not a whole number
• 359 ÷ 16 = 22.438 — not a whole number
• 359 ÷ 17 = 21.118 — not a whole number
• 359 ÷ 18 = 19.944 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 359.

Prime factorization of 359

359 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 359.

Properties of 359

• 359 is a prime number.
• The sum of all its factors is 360; the sum of its proper factors (excluding 359) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 359 is not a perfect square, so its factors pair up evenly.
• Multiples of 359 include 718, 1,077, 1,436, 1,795 and so on.

Factors vs. multiples

Factors of 359 are the numbers that divide into it; multiples of 359 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.