# Is 15005 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

No, 15 005 is not a prime number.

For example, 15 005 can be divided by 5: 15 005 / 5 = 3 001.

Actually, one can immediately see that 15 005 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors.
The last digit of 15 005 is 5, so it is divisible by 5 and is therefore *not* prime.

For 15 005 to be a prime number, it would have been required that 15 005 has only two divisors, i.e., itself and 1.

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