# Is 37865 a prime number?

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

No, 37 865 is not a prime number.

For example, 37 865 can be divided by 5: 37 865 / 5 = 7 573.

Actually, one can immediately see that 37 865 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 37 865 is 5, so it is divisible by 5 and is therefore *not* prime.

For 37 865 to be a prime number, it would have been required that 37 865 has only two divisors, i.e., itself and 1.

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