To determine whether the number 309 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 309 evenly, meaning without leaving a remainder. If such divisors exist, 309 is not a prime number; otherwise, it would be classified as prime.
To quickly check if 309 is a prime number:
Calculate the square root of 309
Prime numbers less than or equal to 17.58: 2, 3, 5, 7, 11, 13, 17
- 309 is divisible by number: 3, 103.
Since 309 is divisible by a number 3, 103 other than 1 and itself, so it is not a prime number
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