Factor Calculator

Factors of 576

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, and 576. In total, 576 has 21 factors. Its prime factorization is 2⁶ × 3², and the sum of all its factors is 1651. 576 is also a perfect square, equal to 24 × 24.

All factors of 576

Here are all 21 factors of 576, listed from smallest to largest.

123468912161824323648647296144192288576

Factor pairs of 576

These 11 pairs of whole numbers each multiply to give 576.

1 × 576 = 576
2 × 288 = 576
3 × 192 = 576
4 × 144 = 576
6 × 96 = 576
8 × 72 = 576
9 × 64 = 576
12 × 48 = 576
16 × 36 = 576
18 × 32 = 576
24 × 24 = 576

Notice the pair (24, 24) — because 576 is a perfect square, this pair uses the same number twice.

Prime factorization of 576

Dividing 576 by the smallest prime at each step gives its prime factorization:

576 ÷ 2 = 288
288 ÷ 2 = 144
144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 = 2⁶ × 3²

The distinct prime factors of 576 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 576

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

Factor tree of 576576228821442722362182933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 576

Number of factors21
Sum of factors1651
Sum of proper factors1075
Prime factorization2⁶ × 3²
Prime or composite?Composite
Even or odd?Even
Perfect square?Yes (24²)
Perfect cube?No
ClassificationAbundant

What makes 576 interesting

  • 576 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 11 different ways.
  • 576 is a perfect square: 24 × 24 = 576. This is why it has an odd number of factors (21) — the pair (24, 24) counts only once.
  • 576 is an abundant number: its proper factors sum to 1075, which is 499 more than 576 itself.

How to find the factors of 576 yourself

Divide 576 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 √576 ≈ 24.00, because every factor above that pairs with one below it.

576 ÷ 1 = 576 ✓
576 ÷ 2 = 288 ✓
576 ÷ 3 = 192 ✓
576 ÷ 4 = 144 ✓
576 ÷ 6 = 96 ✓
576 ÷ 8 = 72 ✓
576 ÷ 9 = 64 ✓
576 ÷ 12 = 48 ✓
576 ÷ 16 = 36 ✓
576 ÷ 18 = 32 ✓
576 ÷ 24 = 24 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. The factor calculator does this automatically for any number.

Numbers mathematically connected to 576.

Frequently asked questions about 576

What are the factors of 576?

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, and 576. That is 21 factors in total, counting both 1 and 576.

Is 576 a prime number?

No, 576 is not prime — it is a composite number with 21 factors. A prime number has exactly two factors, but 576 is also divisible by 2.

What is the prime factorization of 576?

The prime factorization of 576 is 2⁶ × 3². Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 = 576. Its distinct prime factors are 2, 3.

What two numbers multiply to give 576?

There are 11 pairs of whole numbers that multiply to 576: 1 × 576, 2 × 288, 3 × 192, 4 × 144, 6 × 96, 8 × 72, 9 × 64, 12 × 48, 16 × 36, 18 × 32, 24 × 24.

What is the sum of the factors of 576?

Adding all the factors of 576 together gives 1651. Excluding 576 itself, the proper factors sum to 1075.

Is 576 a perfect square?

Yes, 576 is a perfect square. It equals 24 × 24. Perfect squares always have an odd number of factors — 576 has 21.

What is the largest factor of 576 other than itself?

The largest factor of 576 apart from 576 itself is 288, since 576 ÷ 288 = 2.

How many factors does 576 have?

576 has 21 factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, and 576. You can verify this from the prime factorization 2⁶ × 3²: add 1 to each exponent and multiply, giving 7 × 3 = 21.

Explore more

Try another number in the factor calculator, break 576 down further with the prime factorization calculator, or compare 576 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.