Factors of 472

How to find the factors of 472

Test every whole number from 1 up to the square root of 472 (√472 ≈ 21.726). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 472 ÷ 1 = 472 — so 1 and 472 are factors
• 472 ÷ 2 = 236 — so 2 and 236 are factors
• 472 ÷ 3 = 157.333 — not a whole number
• 472 ÷ 4 = 118 — so 4 and 118 are factors
• 472 ÷ 5 = 94.4 — not a whole number
• 472 ÷ 6 = 78.667 — not a whole number
• 472 ÷ 7 = 67.429 — not a whole number
• 472 ÷ 8 = 59 — so 8 and 59 are factors
• 472 ÷ 9 = 52.444 — not a whole number
• 472 ÷ 10 = 47.2 — not a whole number
• 472 ÷ 11 = 42.909 — not a whole number
• 472 ÷ 12 = 39.333 — not a whole number
• 472 ÷ 13 = 36.308 — not a whole number
• 472 ÷ 14 = 33.714 — not a whole number
• 472 ÷ 15 = 31.467 — not a whole number
• 472 ÷ 16 = 29.5 — not a whole number
• 472 ÷ 17 = 27.765 — not a whole number
• 472 ÷ 18 = 26.222 — not a whole number
• 472 ÷ 19 = 24.842 — not a whole number
• 472 ÷ 20 = 23.6 — not a whole number
• 472 ÷ 21 = 22.476 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 59, 118, 236 and 472.

Prime factorization of 472

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

The primes you divided by give 472 = 2³ × 59. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 472

• 472 is a composite number.
• The sum of all its factors is 900; the sum of its proper factors (excluding 472) is 428, which makes it a deficient number (its proper factors add up to less than itself).
• 472 is not a perfect square, so its factors pair up evenly.
• Multiples of 472 include 944, 1,416, 1,888, 2,360 and so on.

Factors vs. multiples

Factors of 472 are the numbers that divide into it; multiples of 472 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.