To determine whether the number 409 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 409 evenly, meaning without leaving a remainder. If such divisors exist, 409 is not a prime number; otherwise, it would be classified as prime.
To quickly check if 409 is a prime number:
Calculate the square root of 409
Prime numbers less than or equal to 20.22: 2, 3, 5, 7, 11, 13, 17, 19
- 409 is not divisible by number: 2, 3, 5, 7, 11, 13, 17, 19.
Since 409 is not divisible by any number other than 1 and itself, it is a prime number.
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