Factors of 10
The factors of 10 are 1, 2, 5, and 10. In total, 10 has 4 factors. Its prime factorization is 2 × 5, and the sum of all its factors is 18.
All factors of 10
Here are all 4 factors of 10, listed from smallest to largest.
Factor pairs of 10
These 2 pairs of whole numbers each multiply to give 10.
Prime factorization of 10
Dividing 10 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 10 are 2, 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 10
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 10
| Number of factors | 4 |
|---|---|
| Sum of factors | 18 |
| Sum of proper factors | 8 |
| Prime factorization | 2 × 5 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 10 interesting
- 10 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.
- 10 is a deficient number: its proper factors sum to 8, which is 2 less than 10 itself.
- 10 is a triangular number — it is the sum of the first 4 whole numbers (1 + 2 + … + 4 = 10).
How to find the factors of 10 yourself
Divide 10 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 √10 ≈ 3.16, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 10.
Frequently asked questions about 10
What are the factors of 10?
Is 10 a prime number?
What is the prime factorization of 10?
What two numbers multiply to give 10?
What is the sum of the factors of 10?
Is 10 a perfect square?
What is the largest factor of 10 other than itself?
How many factors does 10 have?
Explore more
Try another number in the factor calculator, break 10 down further with the prime factorization calculator, or compare 10 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.