# Is 22805 a prime number?

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

No, 22 805 is not a prime number.

For example, 22 805 can be divided by 5: 22 805 / 5 = 4 561.

Actually, one can immediately see that 22 805 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 22 805 is 5, so it is divisible by 5 and is therefore *not* prime.

For 22 805 to be a prime number, it would have been required that 22 805 has only two divisors, i.e., itself and 1.

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