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.
Factor pairs of 24
These 4 pairs of whole numbers each multiply to give 24.
Prime factorization of 24
Dividing 24 by the smallest prime at each step gives its prime factorization:
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.
Properties of 24
| Number of factors | 8 |
|---|---|
| Sum of factors | 60 |
| Sum of proper factors | 36 |
| Prime factorization | 2³ × 3 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
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 √24 ≈ 4.90, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 24.
Frequently asked questions about 24
What are the factors of 24?
Is 24 a prime number?
What is the prime factorization of 24?
What two numbers multiply to give 24?
What is the sum of the factors of 24?
Is 24 a perfect square?
What is the largest factor of 24 other than itself?
How many factors does 24 have?
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.