Factors of 26
The factors of 26 are 1, 2, 13, and 26. In total, 26 has 4 factors. Its prime factorization is 2 × 13, and the sum of all its factors is 42.
All factors of 26
Here are all 4 factors of 26, listed from smallest to largest.
Factor pairs of 26
These 2 pairs of whole numbers each multiply to give 26.
Prime factorization of 26
Dividing 26 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 26 are 2, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 26
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 26
| Number of factors | 4 |
|---|---|
| Sum of factors | 42 |
| Sum of proper factors | 16 |
| Prime factorization | 2 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 26 interesting
- 26 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.
- 26 is a deficient number: its proper factors sum to 16, which is 10 less than 26 itself.
How to find the factors of 26 yourself
Divide 26 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 √26 ≈ 5.10, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 13, 26. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 26.
Frequently asked questions about 26
What are the factors of 26?
Is 26 a prime number?
What is the prime factorization of 26?
What two numbers multiply to give 26?
What is the sum of the factors of 26?
Is 26 a perfect square?
What is the largest factor of 26 other than itself?
How many factors does 26 have?
Explore more
Try another number in the factor calculator, break 26 down further with the prime factorization calculator, or compare 26 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.