# Is 22745 a prime number?

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

No, 22 745 is not a prime number.

For example, 22 745 can be divided by 5: 22 745 / 5 = 4 549.

Actually, one can immediately see that 22 745 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 22 745 is 5, so it is divisible by 5 and is therefore *not* prime.

For 22 745 to be a prime number, it would have been required that 22 745 has only two divisors, i.e., itself and 1.

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