Factors of 576

How to find the factors of 576

Test every whole number from 1 up to the square root of 576 (√576 ≈ 24.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 576 ÷ 1 = 576 — so 1 and 576 are factors
• 576 ÷ 2 = 288 — so 2 and 288 are factors
• 576 ÷ 3 = 192 — so 3 and 192 are factors
• 576 ÷ 4 = 144 — so 4 and 144 are factors
• 576 ÷ 5 = 115.2 — not a whole number
• 576 ÷ 6 = 96 — so 6 and 96 are factors
• 576 ÷ 7 = 82.286 — not a whole number
• 576 ÷ 8 = 72 — so 8 and 72 are factors
• 576 ÷ 9 = 64 — so 9 and 64 are factors
• 576 ÷ 10 = 57.6 — not a whole number
• 576 ÷ 11 = 52.364 — not a whole number
• 576 ÷ 12 = 48 — so 12 and 48 are factors
• 576 ÷ 13 = 44.308 — not a whole number
• 576 ÷ 14 = 41.143 — not a whole number
• 576 ÷ 15 = 38.4 — not a whole number
• 576 ÷ 16 = 36 — so 16 and 36 are factors
• 576 ÷ 17 = 33.882 — not a whole number
• 576 ÷ 18 = 32 — so 18 and 32 are factors
• 576 ÷ 19 = 30.316 — not a whole number
• 576 ÷ 20 = 28.8 — not a whole number
• 576 ÷ 21 = 27.429 — not a whole number
• 576 ÷ 22 = 26.182 — not a whole number
• 576 ÷ 23 = 25.043 — not a whole number
• 576 ÷ 24 = 24 — so 24 and 24 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288 and 576.

Prime factorization of 576

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

The primes you divided by give 576 = 2⁶ × 3². From the exponents you can also count the factors without listing them: (6 + 1) × (2 + 1) = 21.

Properties of 576

• 576 is a composite number.
• The sum of all its factors is 1,651; the sum of its proper factors (excluding 576) is 1,075, which makes it a abundant number (its proper factors add up to more than itself).
• 576 is a perfect square: 24 × 24. Perfect squares always have an odd number of factors.
• Multiples of 576 include 1,152, 1,728, 2,304, 2,880 and so on.

Factors vs. multiples

Factors of 576 are the numbers that divide into it; multiples of 576 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.