jonesnr10
24.08.2019 •
Mathematics
What is the greatest prime number you would need to check to determine whether 5,699 is prime?
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Ответ:
So lets list out the first 15 prime numbers:
2, 3, 5, 7 ,11, 13 ,17, 19, 23, 29, 31, 37, 41, 43, 47
Now we need to see if it is divisible by any of these primes:
5699/2 = 2849.5 Not Divisible
5699/3 = 1899.667 Not Divisible
5699/5 = 1139.8 Not Divisible
5699/7 = 814.143 Not Divisible
....
5699/37 = 154.03 Not Divisible
5699/41 = 139 Divisble
So now we found that 5699 = 41 x 139
Can 139 be factored down anymore since 41 is prime and can not be factored?
Nope, 139 is also a prime.
So the greatest prime that you would need to check to determine if 5699 is a prime is 41 . Before we reached 41, we thought that 5699 was a prime, but after finding 41 was divisible into 5699, we now know 5699 is not a prime.
So your final answer would be:
Ответ:
The answer is (-3, 1) I just took the test