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.
Factor pairs of 19
There is only one factor pair for 19, because it is prime.
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 factors | 2 |
|---|---|
| Sum of factors | 20 |
| Sum of proper factors | 1 |
| Prime factorization | 19 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √19 ≈ 4.36, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 19. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 19.
Frequently asked questions about 19
What are the factors of 19?
Is 19 a prime number?
What is the prime factorization of 19?
What two numbers multiply to give 19?
What is the sum of the factors of 19?
Is 19 a perfect square?
What is the largest factor of 19 other than itself?
How many factors does 19 have?
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.