Factors of 464

How to find the factors of 464

Test every whole number from 1 up to the square root of 464 (√464 ≈ 21.541). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 464 ÷ 1 = 464 — so 1 and 464 are factors
• 464 ÷ 2 = 232 — so 2 and 232 are factors
• 464 ÷ 3 = 154.667 — not a whole number
• 464 ÷ 4 = 116 — so 4 and 116 are factors
• 464 ÷ 5 = 92.8 — not a whole number
• 464 ÷ 6 = 77.333 — not a whole number
• 464 ÷ 7 = 66.286 — not a whole number
• 464 ÷ 8 = 58 — so 8 and 58 are factors
• 464 ÷ 9 = 51.556 — not a whole number
• 464 ÷ 10 = 46.4 — not a whole number
• 464 ÷ 11 = 42.182 — not a whole number
• 464 ÷ 12 = 38.667 — not a whole number
• 464 ÷ 13 = 35.692 — not a whole number
• 464 ÷ 14 = 33.143 — not a whole number
• 464 ÷ 15 = 30.933 — not a whole number
• 464 ÷ 16 = 29 — so 16 and 29 are factors
• 464 ÷ 17 = 27.294 — not a whole number
• 464 ÷ 18 = 25.778 — not a whole number
• 464 ÷ 19 = 24.421 — not a whole number
• 464 ÷ 20 = 23.2 — not a whole number
• 464 ÷ 21 = 22.095 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464.

Prime factorization of 464

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

The primes you divided by give 464 = 2⁴ × 29. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 464

• 464 is a composite number.
• The sum of all its factors is 930; the sum of its proper factors (excluding 464) is 466, which makes it a abundant number (its proper factors add up to more than itself).
• 464 is not a perfect square, so its factors pair up evenly.
• Multiples of 464 include 928, 1,392, 1,856, 2,320 and so on.

Factors vs. multiples

Factors of 464 are the numbers that divide into it; multiples of 464 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.