Factor Calculator

Factors of 96

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. In total, 96 has 12 factors. Its prime factorization is 2⁵ × 3, and the sum of all its factors is 252.

All factors of 96

Here are all 12 factors of 96, listed from smallest to largest.

123468121624324896

Factor pairs of 96

These 6 pairs of whole numbers each multiply to give 96.

1 × 96 = 96
2 × 48 = 96
3 × 32 = 96
4 × 24 = 96
6 × 16 = 96
8 × 12 = 96

Prime factorization of 96

Dividing 96 by the smallest prime at each step gives its prime factorization:

96 ÷ 2 = 48
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
Result: 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2⁵ × 3

The distinct prime factors of 96 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 96

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 96962482242122623
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 96

Number of factors12
Sum of factors252
Sum of proper factors156
Prime factorization2⁵ × 3
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 96 interesting

  • 96 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 96 is an abundant number: its proper factors sum to 156, which is 60 more than 96 itself.

How to find the factors of 96 yourself

Divide 96 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √96 ≈ 9.80, because every factor above that pairs with one below it.

96 ÷ 1 = 96 ✓
96 ÷ 2 = 48 ✓
96 ÷ 3 = 32 ✓
96 ÷ 4 = 24 ✓
96 ÷ 6 = 16 ✓
96 ÷ 8 = 12 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. The factor calculator does this automatically for any number.

Numbers mathematically connected to 96.

Frequently asked questions about 96

What are the factors of 96?

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. That is 12 factors in total, counting both 1 and 96.

Is 96 a prime number?

No, 96 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 96 is also divisible by 2.

What is the prime factorization of 96?

The prime factorization of 96 is 2⁵ × 3. Written out in full: 2 × 2 × 2 × 2 × 2 × 3 = 96. Its distinct prime factors are 2, 3.

What two numbers multiply to give 96?

There are 6 pairs of whole numbers that multiply to 96: 1 × 96, 2 × 48, 3 × 32, 4 × 24, 6 × 16, 8 × 12.

What is the sum of the factors of 96?

Adding all the factors of 96 together gives 252. Excluding 96 itself, the proper factors sum to 156.

Is 96 a perfect square?

No, 96 is not a perfect square. There is no whole number that multiplies by itself to give 96. The nearest perfect squares are 81 and 100.

What is the largest factor of 96 other than itself?

The largest factor of 96 apart from 96 itself is 48, since 96 ÷ 48 = 2.

How many factors does 96 have?

96 has 12 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. You can verify this from the prime factorization 2⁵ × 3: add 1 to each exponent and multiply, giving 6 × 2 = 12.

Explore more

Try another number in the factor calculator, break 96 down further with the prime factorization calculator, or compare 96 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.