How many positive integers are factors of 19. How to find all positive factors of 19? Is 19 a prime or a composit number? How to find factors of 19.
asked in Basic Math by expert

1 Answer

The factors of the number 19 are: 19, 1

The square root of 19 rounded up to the nearest integer is 5. This is the limit to test our divisions because any number greater than 5 times 5 is greater than 19. So, we stop at 5.

Let's test the values 1 through 5 for division into 19.

  • 19/1 = 19. Remainder = 0. So, 19 and 1 are factors.
  • 19/2 = 9. Remainder = 1. So, 9 isn't a factor.
  • 19/3 = 6. Remainder = 1. So, 6 isn't a factor.
  • 19/4 = 4. Remainder = 3. So, 4 isn't a factor.
  • 19/5 = 3. Remainder = 4. So, 3 isn't a factor.

Factors of a number n are numbers that can divide n without remainder, ie, remainder = 0. So, choosing only the numbers that meet this criteria from the list above, we find that the numbers which divide 19 (including 19) with no remainder are: 19, 1.

So, the factors of the number 19 are: 19, 1.

A composite number has more than two factors. A prime number has only two factors: 1 and itself. The number 1 is neither prime nor composite.

Because the number 19 has just two factors (1 and itself), it is termed a prime number in mathematics.

As 19 is a prime number, we can't factorize it.

answered by expert