Factors of 104
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, and 104. In total, 104 has 8 factors. Its prime factorization is 2³ × 13, and the sum of all its factors is 210.
All factors of 104
Here are all 8 factors of 104, listed from smallest to largest.
Factor pairs of 104
These 4 pairs of whole numbers each multiply to give 104.
Prime factorization of 104
Dividing 104 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 104 are 2, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 104
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 104
| Number of factors | 8 |
|---|---|
| Sum of factors | 210 |
| Sum of proper factors | 106 |
| Prime factorization | 2³ × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 104 interesting
- 104 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.
- 104 is an abundant number: its proper factors sum to 106, which is 2 more than 104 itself.
How to find the factors of 104 yourself
Divide 104 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 √104 ≈ 10.20, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 8, 13, 26, 52, 104. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 104.
Frequently asked questions about 104
What are the factors of 104?
Is 104 a prime number?
What is the prime factorization of 104?
What two numbers multiply to give 104?
What is the sum of the factors of 104?
Is 104 a perfect square?
What is the largest factor of 104 other than itself?
How many factors does 104 have?
Explore more
Try another number in the factor calculator, break 104 down further with the prime factorization calculator, or compare 104 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.