Factors of 600

How to find the factors of 600

Test every whole number from 1 up to the square root of 600 (√600 ≈ 24.495). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 600 ÷ 1 = 600 — so 1 and 600 are factors
• 600 ÷ 2 = 300 — so 2 and 300 are factors
• 600 ÷ 3 = 200 — so 3 and 200 are factors
• 600 ÷ 4 = 150 — so 4 and 150 are factors
• 600 ÷ 5 = 120 — so 5 and 120 are factors
• 600 ÷ 6 = 100 — so 6 and 100 are factors
• 600 ÷ 7 = 85.714 — not a whole number
• 600 ÷ 8 = 75 — so 8 and 75 are factors
• 600 ÷ 9 = 66.667 — not a whole number
• 600 ÷ 10 = 60 — so 10 and 60 are factors
• 600 ÷ 11 = 54.545 — not a whole number
• 600 ÷ 12 = 50 — so 12 and 50 are factors
• 600 ÷ 13 = 46.154 — not a whole number
• 600 ÷ 14 = 42.857 — not a whole number
• 600 ÷ 15 = 40 — so 15 and 40 are factors
• 600 ÷ 16 = 37.5 — not a whole number
• 600 ÷ 17 = 35.294 — not a whole number
• 600 ÷ 18 = 33.333 — not a whole number
• 600 ÷ 19 = 31.579 — not a whole number
• 600 ÷ 20 = 30 — so 20 and 30 are factors
• 600 ÷ 21 = 28.571 — not a whole number
• 600 ÷ 22 = 27.273 — not a whole number
• 600 ÷ 23 = 26.087 — not a whole number
• 600 ÷ 24 = 25 — so 24 and 25 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300 and 600.

Prime factorization of 600

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

The primes you divided by give 600 = 2³ × 3 × 5². From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (2 + 1) = 24.

Properties of 600

• 600 is a composite number.
• The sum of all its factors is 1,860; the sum of its proper factors (excluding 600) is 1,260, which makes it a abundant number (its proper factors add up to more than itself).
• 600 is not a perfect square, so its factors pair up evenly.
• Multiples of 600 include 1,200, 1,800, 2,400, 3,000 and so on.

Factors vs. multiples

Factors of 600 are the numbers that divide into it; multiples of 600 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.