Is 825 a Prime Number?

To determine whether the number 825 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 825 evenly, meaning without leaving a remainder. If such divisors exist, 825 is not a prime number; otherwise, it would be classified as prime.

To quickly check if 825 is a prime number:

Calculate the square root of 825

$\sqrt{825} = 28.72$

Prime numbers less than or equal to 28.72: 2, 3, 5, 7, 11, 13, 17, 19, 23

• 825 is divisible by number: 3, 5, 11.

Since 825 is divisible by a number 3, 5, 11 other than 1 and itself, so it is not a prime number