# Is 10605 a prime number?

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

No, 10 605 is not a prime number.

For example, 10 605 can be divided by 3: 10 605 / 3 = 3 535.

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Actually, one can immediately see that 10 605 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 10 605 is 5, so it is divisible by 5 and is therefore *not* prime.

For 10 605 to be a prime number, it would have been required that 10 605 has only two divisors, i.e., itself and 1.

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