Factors of 476

How to find the factors of 476

Test every whole number from 1 up to the square root of 476 (√476 ≈ 21.817). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 476 ÷ 1 = 476 — so 1 and 476 are factors
• 476 ÷ 2 = 238 — so 2 and 238 are factors
• 476 ÷ 3 = 158.667 — not a whole number
• 476 ÷ 4 = 119 — so 4 and 119 are factors
• 476 ÷ 5 = 95.2 — not a whole number
• 476 ÷ 6 = 79.333 — not a whole number
• 476 ÷ 7 = 68 — so 7 and 68 are factors
• 476 ÷ 8 = 59.5 — not a whole number
• 476 ÷ 9 = 52.889 — not a whole number
• 476 ÷ 10 = 47.6 — not a whole number
• 476 ÷ 11 = 43.273 — not a whole number
• 476 ÷ 12 = 39.667 — not a whole number
• 476 ÷ 13 = 36.615 — not a whole number
• 476 ÷ 14 = 34 — so 14 and 34 are factors
• 476 ÷ 15 = 31.733 — not a whole number
• 476 ÷ 16 = 29.75 — not a whole number
• 476 ÷ 17 = 28 — so 17 and 28 are factors
• 476 ÷ 18 = 26.444 — not a whole number
• 476 ÷ 19 = 25.053 — not a whole number
• 476 ÷ 20 = 23.8 — not a whole number
• 476 ÷ 21 = 22.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238 and 476.

Prime factorization of 476

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

The primes you divided by give 476 = 2² × 7 × 17. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 476

• 476 is a composite number.
• The sum of all its factors is 1,008; the sum of its proper factors (excluding 476) is 532, which makes it a abundant number (its proper factors add up to more than itself).
• 476 is not a perfect square, so its factors pair up evenly.
• Multiples of 476 include 952, 1,428, 1,904, 2,380 and so on.

Factors vs. multiples

Factors of 476 are the numbers that divide into it; multiples of 476 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.