Factor Calculator

Factors of 13

The factors of 13 are 1 and 13. Since 13 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 14, and its prime factorization is simply 13 itself.

All factors of 13

Here are all 2 factors of 13, listed from smallest to largest.

113

Factor pairs of 13

There is only one factor pair for 13, because it is prime.

1 × 13 = 13

Prime factorization of 13

13 is a prime number, so it cannot be broken down further. Its prime factorization is simply 13.

Properties of 13

Number of factors2
Sum of factors14
Sum of proper factors1
Prime factorization13
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 13 interesting

  • 13 is a prime number, so its only factors are 1 and 13. It cannot be split into a product of two smaller whole numbers.
  • Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
  • 13 appears in the Fibonacci sequence, where each number is the sum of the two before it.

How to find the factors of 13 yourself

Divide 13 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 √13 ≈ 3.61, because every factor above that pairs with one below it.

13 ÷ 1 = 13 ✓

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

Numbers mathematically connected to 13.

Frequently asked questions about 13

What are the factors of 13?

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

Is 13 a prime number?

Yes, 13 is a prime number. It has exactly two factors: 1 and 13. No other whole number divides it evenly.

What is the prime factorization of 13?

13 is already prime, so its prime factorization is simply 13. It cannot be broken down any further.

What two numbers multiply to give 13?

There is 1 pair of whole numbers that multiply to 13: 1 × 13.

What is the sum of the factors of 13?

Adding all the factors of 13 together gives 14. Excluding 13 itself, the proper factors sum to 1.

Is 13 a perfect square?

No, 13 is not a perfect square. There is no whole number that multiplies by itself to give 13. The nearest perfect squares are 9 and 16.

What is the largest factor of 13 other than itself?

The largest factor of 13 apart from 13 itself is 1, since 13 ÷ 1 = 13.

How many factors does 13 have?

13 has 2 factors: 1 and 13.

Explore more

Try another number in the factor calculator, break 13 down further with the prime factorization calculator, or compare 13 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.