9. determine whether or not the number 257 is prime.

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by 2, 3, 5, 7, 11 and 13 (the prime numbers that come before 16)

Therefore, 257 is prime.

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