To determine whether the number 315 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 315 evenly, meaning without leaving a remainder. If such divisors exist, 315 is not a prime number; otherwise, it would be classified as prime.
To quickly check if 315 is a prime number:
Calculate the square root of 315
Prime numbers less than or equal to 17.75: 2, 3, 5, 7, 11, 13, 17
- 315 is divisible by number: 3, 5, 7.
Since 315 is divisible by a number 3, 5, 7 other than 1 and itself, so it is not a prime number
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