Factors of 96

How to find the factors of 96

Test every whole number from 1 up to the square root of 96 (√96 ≈ 9.798). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 96 ÷ 1 = 96 — so 1 and 96 are factors
• 96 ÷ 2 = 48 — so 2 and 48 are factors
• 96 ÷ 3 = 32 — so 3 and 32 are factors
• 96 ÷ 4 = 24 — so 4 and 24 are factors
• 96 ÷ 5 = 19.2 — not a whole number
• 96 ÷ 6 = 16 — so 6 and 16 are factors
• 96 ÷ 7 = 13.714 — not a whole number
• 96 ÷ 8 = 12 — so 8 and 12 are factors
• 96 ÷ 9 = 10.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96.

Prime factorization of 96

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

The primes you divided by give 96 = 2⁵ × 3. From the exponents you can also count the factors without listing them: (5 + 1) × (1 + 1) = 12.

Properties of 96

• 96 is a composite number.
• The sum of all its factors is 252; the sum of its proper factors (excluding 96) is 156, which makes it a abundant number (its proper factors add up to more than itself).
• 96 is not a perfect square, so its factors pair up evenly.
• Multiples of 96 include 192, 288, 384, 480 and so on.

Factors vs. multiples

Factors of 96 are the numbers that divide into it; multiples of 96 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.