Is 689 a Prime Number?

To determine whether the number 689 is a prime number, it is necessary to check if it has any divisors besides 1 and itself. This involves checking if there are any other numbers that can divide 689 evenly, meaning without leaving a remainder. If such divisors exist, 689 is not a prime number; otherwise, it would be classified as prime.

To quickly check if 689 is a prime number:

Calculate the square root of 689

$\sqrt{689} = 26.25$

Prime numbers less than or equal to 26.25: 2, 3, 5, 7, 11, 13, 17, 19, 23

• 689 is divisible by number: 13, 53.

Since 689 is divisible by a number 13, 53 other than 1 and itself, so it is not a prime number