Factors of 368

How to find the factors of 368

Test every whole number from 1 up to the square root of 368 (√368 ≈ 19.183). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 368 ÷ 1 = 368 — so 1 and 368 are factors
• 368 ÷ 2 = 184 — so 2 and 184 are factors
• 368 ÷ 3 = 122.667 — not a whole number
• 368 ÷ 4 = 92 — so 4 and 92 are factors
• 368 ÷ 5 = 73.6 — not a whole number
• 368 ÷ 6 = 61.333 — not a whole number
• 368 ÷ 7 = 52.571 — not a whole number
• 368 ÷ 8 = 46 — so 8 and 46 are factors
• 368 ÷ 9 = 40.889 — not a whole number
• 368 ÷ 10 = 36.8 — not a whole number
• 368 ÷ 11 = 33.455 — not a whole number
• 368 ÷ 12 = 30.667 — not a whole number
• 368 ÷ 13 = 28.308 — not a whole number
• 368 ÷ 14 = 26.286 — not a whole number
• 368 ÷ 15 = 24.533 — not a whole number
• 368 ÷ 16 = 23 — so 16 and 23 are factors
• 368 ÷ 17 = 21.647 — not a whole number
• 368 ÷ 18 = 20.444 — not a whole number
• 368 ÷ 19 = 19.368 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 23, 46, 92, 184 and 368.

Prime factorization of 368

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

The primes you divided by give 368 = 2⁴ × 23. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 368

• 368 is a composite number.
• The sum of all its factors is 744; the sum of its proper factors (excluding 368) is 376, which makes it a abundant number (its proper factors add up to more than itself).
• 368 is not a perfect square, so its factors pair up evenly.
• Multiples of 368 include 736, 1,104, 1,472, 1,840 and so on.

Factors vs. multiples

Factors of 368 are the numbers that divide into it; multiples of 368 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.