Factors of 24

How to find the factors of 24

Test every whole number from 1 up to the square root of 24 (√24 ≈ 4.899). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 24 ÷ 1 = 24 — so 1 and 24 are factors
• 24 ÷ 2 = 12 — so 2 and 12 are factors
• 24 ÷ 3 = 8 — so 3 and 8 are factors
• 24 ÷ 4 = 6 — so 4 and 6 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12 and 24.

Prime factorization of 24

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

The primes you divided by give 24 = 2³ × 3. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 24

• 24 is a composite number.
• The sum of all its factors is 60; the sum of its proper factors (excluding 24) is 36, which makes it a abundant number (its proper factors add up to more than itself).
• 24 is not a perfect square, so its factors pair up evenly.
• Multiples of 24 include 48, 72, 96, 120 and so on.

Factors vs. multiples

Factors of 24 are the numbers that divide into it; multiples of 24 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.