Factors of 460

How to find the factors of 460

Test every whole number from 1 up to the square root of 460 (√460 ≈ 21.448). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 460 ÷ 1 = 460 — so 1 and 460 are factors
• 460 ÷ 2 = 230 — so 2 and 230 are factors
• 460 ÷ 3 = 153.333 — not a whole number
• 460 ÷ 4 = 115 — so 4 and 115 are factors
• 460 ÷ 5 = 92 — so 5 and 92 are factors
• 460 ÷ 6 = 76.667 — not a whole number
• 460 ÷ 7 = 65.714 — not a whole number
• 460 ÷ 8 = 57.5 — not a whole number
• 460 ÷ 9 = 51.111 — not a whole number
• 460 ÷ 10 = 46 — so 10 and 46 are factors
• 460 ÷ 11 = 41.818 — not a whole number
• 460 ÷ 12 = 38.333 — not a whole number
• 460 ÷ 13 = 35.385 — not a whole number
• 460 ÷ 14 = 32.857 — not a whole number
• 460 ÷ 15 = 30.667 — not a whole number
• 460 ÷ 16 = 28.75 — not a whole number
• 460 ÷ 17 = 27.059 — not a whole number
• 460 ÷ 18 = 25.556 — not a whole number
• 460 ÷ 19 = 24.211 — not a whole number
• 460 ÷ 20 = 23 — so 20 and 23 are factors
• 460 ÷ 21 = 21.905 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230 and 460.

Prime factorization of 460

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

The primes you divided by give 460 = 2² × 5 × 23. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 460

• 460 is a composite number.
• The sum of all its factors is 1,008; the sum of its proper factors (excluding 460) is 548, which makes it a abundant number (its proper factors add up to more than itself).
• 460 is not a perfect square, so its factors pair up evenly.
• Multiples of 460 include 920, 1,380, 1,840, 2,300 and so on.

Factors vs. multiples

Factors of 460 are the numbers that divide into it; multiples of 460 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.