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Mathematics 23 Online
OpenStudy (anonymous):

How many primes less than 1000 are divisible by 7? none 1 more than 1 but less than 142 142 more than 142

jimthompson5910 (jim_thompson5910):

What is a prime number?

OpenStudy (anonymous):

I think it is none, because 7 is prime?

jimthompson5910 (jim_thompson5910):

You are correct, but it's not because of 7

jimthompson5910 (jim_thompson5910):

Prime numbers are only divisible by 1 and itself, so if 7 was a factor, then this number wouldn't be prime (assuming this number isn't 7)

OpenStudy (anonymous):

ok thanks!

jimthompson5910 (jim_thompson5910):

well I'm not thinking about 7 itself...so it's 1

jimthompson5910 (jim_thompson5910):

because 7 is indeed prime

OpenStudy (anonymous):

the answer is 1??

OpenStudy (anonymous):

I thought it was none

jimthompson5910 (jim_thompson5910):

yes because 7 is divisible by itself and it's prime

jimthompson5910 (jim_thompson5910):

I didn't think about that til just now

OpenStudy (anonymous):

are u sure?...

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

there's only one prime that's divisible by 7, and that's 7 itself

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