Factor Calculator

Factors of 24

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. In total, 24 has 8 factors. Its prime factorization is 2³ × 3, and the sum of all its factors is 60.

All factors of 24

Here are all 8 factors of 24, listed from smallest to largest.

1234681224

Factor pairs of 24

These 4 pairs of whole numbers each multiply to give 24.

1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24

Prime factorization of 24

Dividing 24 by the smallest prime at each step gives its prime factorization:

24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
Result: 24 = 2 × 2 × 2 × 3 = 2³ × 3

The distinct prime factors of 24 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 24

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

Factor tree of 24242122623
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 24

Number of factors8
Sum of factors60
Sum of proper factors36
Prime factorization2³ × 3
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 24 interesting

  • 24 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 24 is an abundant number: its proper factors sum to 36, which is 12 more than 24 itself.
  • 24 is a highly composite number — it has more factors (8) than any smaller positive integer. Numbers like this are useful in measurement systems because they divide evenly so many ways.

How to find the factors of 24 yourself

Divide 24 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 √244.90, because every factor above that pairs with one below it.

24 ÷ 1 = 24
24 ÷ 2 = 12
24 ÷ 3 = 8
24 ÷ 4 = 6

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

Frequently asked questions about 24

What are the factors of 24?

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

Is 24 a prime number?

No, 24 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 24 is also divisible by 2.

What is the prime factorization of 24?

The prime factorization of 24 is 2³ × 3. Written out in full: 2 × 2 × 2 × 3 = 24. Its distinct prime factors are 2, 3.

What two numbers multiply to give 24?

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

What is the sum of the factors of 24?

Adding all the factors of 24 together gives 60. Excluding 24 itself, the proper factors sum to 36.

Is 24 a perfect square?

No, 24 is not a perfect square. There is no whole number that multiplies by itself to give 24. The nearest perfect squares are 16 and 25.

What is the largest factor of 24 other than itself?

The largest factor of 24 apart from 24 itself is 12, since 24 ÷ 12 = 2.

How many factors does 24 have?

24 has 8 factors: 1, 2, 3, 4, 6, 8, 12, and 24. You can verify this from the prime factorization 2³ × 3: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 24 down further with the prime factorization calculator, or compare 24 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.