Is 407 a Prime Number?

To determine whether the number 407 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 407 evenly, meaning without leaving a remainder. If such divisors exist, 407 is not a prime number; otherwise, it would be classified as prime.

To quickly check if 407 is a prime number:

Calculate the square root of 407

$\sqrt{407} = 20.17$

Prime numbers less than or equal to 20.17: 2, 3, 5, 7, 11, 13, 17, 19

• 407 is divisible by number: 11, 37.

Since 407 is divisible by a number 11, 37 other than 1 and itself, so it is not a prime number