Is 463 a Prime Number

To determine whether the number 463 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 463 evenly, meaning without leaving a remainder. If such divisors exist, 463 is not a prime number; otherwise, it would be classified as prime.

To quickly check if 463 is a prime number:

Calculate the square root of 463

$\sqrt{463} = 21.52$

Prime numbers less than or equal to 21.52: 2, 3, 5, 7, 11, 13, 17, 19

• 463 is not divisible by number: 2, 3, 5, 7, 11, 13, 17, 19.

Since 463 is not divisible by any number other than 1 and itself, it is a prime number.