Factor Calculator

Factors of 19

The factors of 19 are 1 and 19. Since 19 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 20, and its prime factorization is simply 19 itself.

All factors of 19

Here are all 2 factors of 19, listed from smallest to largest.

119

Factor pairs of 19

There is only one factor pair for 19, because it is prime.

1 × 19 = 19

Prime factorization of 19

19 is a prime number, so it cannot be broken down further. Its prime factorization is simply 19.

Properties of 19

Number of factors2
Sum of factors20
Sum of proper factors1
Prime factorization19
Prime or composite?Prime
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 19 interesting

  • 19 is a prime number, so its only factors are 1 and 19. 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.

How to find the factors of 19 yourself

Divide 19 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 √194.36, because every factor above that pairs with one below it.

19 ÷ 1 = 19

Reading both columns gives every factor: 1, 19. The factor calculator does this automatically for any number.

Frequently asked questions about 19

What are the factors of 19?

The factors of 19 are 1 and 19. That is 2 factors in total, counting both 1 and 19.

Is 19 a prime number?

Yes, 19 is a prime number. It has exactly two factors: 1 and 19. No other whole number divides it evenly.

What is the prime factorization of 19?

19 is already prime, so its prime factorization is simply 19. It cannot be broken down any further.

What two numbers multiply to give 19?

There is 1 pair of whole numbers that multiply to 19: 1 × 19.

What is the sum of the factors of 19?

Adding all the factors of 19 together gives 20. Excluding 19 itself, the proper factors sum to 1.

Is 19 a perfect square?

No, 19 is not a perfect square. There is no whole number that multiplies by itself to give 19. The nearest perfect squares are 16 and 25.

What is the largest factor of 19 other than itself?

The largest factor of 19 apart from 19 itself is 1, since 19 ÷ 1 = 19.

How many factors does 19 have?

19 has 2 factors: 1 and 19.

Explore more

Try another number in the factor calculator, break 19 down further with the prime factorization calculator, or compare 19 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.