Is 467 a Prime Number

To determine whether the number 467 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 467 evenly, meaning without leaving a remainder. If such divisors exist, 467 is not a prime number; otherwise, it would be classified as prime.

To quickly check if 467 is a prime number:

Calculate the square root of 467

$\sqrt{467} = 21.61$

Prime numbers less than or equal to 21.61: 2, 3, 5, 7, 11, 13, 17, 19

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

Since 467 is not divisible by any number other than 1 and itself, it is a prime number.