Factor Calculator

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.

121326

Factor pairs of 26

These 2 pairs of whole numbers each multiply to give 26.

1 × 26 = 26
2 × 13 = 26

Prime factorization of 26

Dividing 26 by the smallest prime at each step gives its prime factorization:

26 ÷ 2 = 13
13 ÷ 13 = 1
Result: 26 = 2 × 13 = 2 × 13

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.

Factor tree of 2626213
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 26

Number of factors4
Sum of factors42
Sum of proper factors16
Prime factorization2 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √265.10, because every factor above that pairs with one below it.

26 ÷ 1 = 26
26 ÷ 2 = 13

Reading both columns gives every factor: 1, 2, 13, 26. The factor calculator does this automatically for any number.

Frequently asked questions about 26

What are the factors of 26?

The factors of 26 are 1, 2, 13, and 26. That is 4 factors in total, counting both 1 and 26.

Is 26 a prime number?

No, 26 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 26 is also divisible by 2.

What is the prime factorization of 26?

The prime factorization of 26 is 2 × 13. Written out in full: 2 × 13 = 26. Its distinct prime factors are 2, 13.

What two numbers multiply to give 26?

There are 2 pairs of whole numbers that multiply to 26: 1 × 26, 2 × 13.

What is the sum of the factors of 26?

Adding all the factors of 26 together gives 42. Excluding 26 itself, the proper factors sum to 16.

Is 26 a perfect square?

No, 26 is not a perfect square. There is no whole number that multiplies by itself to give 26. The nearest perfect squares are 25 and 36.

What is the largest factor of 26 other than itself?

The largest factor of 26 apart from 26 itself is 13, since 26 ÷ 13 = 2.

How many factors does 26 have?

26 has 4 factors: 1, 2, 13, and 26. You can verify this from the prime factorization 2 × 13: add 1 to each exponent and multiply, giving 2 × 2 = 4.

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.