Factors of 15
The factors of 15 are 1, 3, 5, and 15. In total, 15 has 4 factors. Its prime factorization is 3 × 5, and the sum of all its factors is 24.
All factors of 15
Here are all 4 factors of 15, listed from smallest to largest.
Factor pairs of 15
These 2 pairs of whole numbers each multiply to give 15.
Prime factorization of 15
Dividing 15 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 15 are 3, 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 15
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 15
| Number of factors | 4 |
|---|---|
| Sum of factors | 24 |
| Sum of proper factors | 9 |
| Prime factorization | 3 × 5 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 15 interesting
- 15 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 15 is a deficient number: its proper factors sum to 9, which is 6 less than 15 itself.
- 15 is a triangular number — it is the sum of the first 5 whole numbers (1 + 2 + … + 5 = 15).
How to find the factors of 15 yourself
Divide 15 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 √15 ≈ 3.87, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 15. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 15.
Frequently asked questions about 15
What are the factors of 15?
Is 15 a prime number?
What is the prime factorization of 15?
What two numbers multiply to give 15?
What is the sum of the factors of 15?
Is 15 a perfect square?
What is the largest factor of 15 other than itself?
How many factors does 15 have?
Explore more
Try another number in the factor calculator, break 15 down further with the prime factorization calculator, or compare 15 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.