Factors of 130
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. In total, 130 has 8 factors. Its prime factorization is 2 × 5 × 13, and the sum of all its factors is 252.
All factors of 130
Here are all 8 factors of 130, listed from smallest to largest.
Factor pairs of 130
These 4 pairs of whole numbers each multiply to give 130.
Prime factorization of 130
Dividing 130 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 130 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 130
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 130
| Number of factors | 8 |
|---|---|
| Sum of factors | 252 |
| Sum of proper factors | 122 |
| Prime factorization | 2 × 5 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 130 interesting
- 130 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.
- 130 is a deficient number: its proper factors sum to 122, which is 8 less than 130 itself.
- 130 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.
How to find the factors of 130 yourself
Divide 130 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 √130 ≈ 11.40, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 13, 26, 65, 130. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 130.
Frequently asked questions about 130
What are the factors of 130?
Is 130 a prime number?
What is the prime factorization of 130?
What two numbers multiply to give 130?
What is the sum of the factors of 130?
Is 130 a perfect square?
What is the largest factor of 130 other than itself?
How many factors does 130 have?
Explore more
Try another number in the factor calculator, break 130 down further with the prime factorization calculator, or compare 130 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.