Factor Calculator

Factors of 288

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, and 288. In total, 288 has 18 factors. Its prime factorization is 2⁵ × 3², and the sum of all its factors is 819.

All factors of 288

Here are all 18 factors of 288, listed from smallest to largest.

1234689121618243236487296144288

Factor pairs of 288

These 9 pairs of whole numbers each multiply to give 288.

1 × 288 = 288
2 × 144 = 288
3 × 96 = 288
4 × 72 = 288
6 × 48 = 288
8 × 36 = 288
9 × 32 = 288
12 × 24 = 288
16 × 18 = 288

Prime factorization of 288

Dividing 288 by the smallest prime at each step gives its prime factorization:

288 ÷ 2 = 144
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 288 = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2⁵ × 3²

The distinct prime factors of 288 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 288

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

Factor tree of 28828821442722362182933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 288

Number of factors18
Sum of factors819
Sum of proper factors531
Prime factorization2⁵ × 3²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 288 interesting

  • 288 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
  • 288 is an abundant number: its proper factors sum to 531, which is 243 more than 288 itself.

How to find the factors of 288 yourself

Divide 288 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 √288 ≈ 16.97, because every factor above that pairs with one below it.

288 ÷ 1 = 288 ✓
288 ÷ 2 = 144 ✓
288 ÷ 3 = 96 ✓
288 ÷ 4 = 72 ✓
288 ÷ 6 = 48 ✓
288 ÷ 8 = 36 ✓
288 ÷ 9 = 32 ✓
288 ÷ 12 = 24 ✓
288 ÷ 16 = 18 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. The factor calculator does this automatically for any number.

Numbers mathematically connected to 288.

Frequently asked questions about 288

What are the factors of 288?

The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, and 288. That is 18 factors in total, counting both 1 and 288.

Is 288 a prime number?

No, 288 is not prime — it is a composite number with 18 factors. A prime number has exactly two factors, but 288 is also divisible by 2.

What is the prime factorization of 288?

The prime factorization of 288 is 2⁵ × 3². Written out in full: 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288. Its distinct prime factors are 2, 3.

What two numbers multiply to give 288?

There are 9 pairs of whole numbers that multiply to 288: 1 × 288, 2 × 144, 3 × 96, 4 × 72, 6 × 48, 8 × 36, 9 × 32, 12 × 24, 16 × 18.

What is the sum of the factors of 288?

Adding all the factors of 288 together gives 819. Excluding 288 itself, the proper factors sum to 531.

Is 288 a perfect square?

No, 288 is not a perfect square. There is no whole number that multiplies by itself to give 288. The nearest perfect squares are 256 and 289.

What is the largest factor of 288 other than itself?

The largest factor of 288 apart from 288 itself is 144, since 288 ÷ 144 = 2.

How many factors does 288 have?

288 has 18 factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, and 288. You can verify this from the prime factorization 2⁵ × 3²: add 1 to each exponent and multiply, giving 6 × 3 = 18.

Explore more

Try another number in the factor calculator, break 288 down further with the prime factorization calculator, or compare 288 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.