# Is 7875 a prime number?

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

No, 7 875 is not a prime number.

For example, 7 875 can be divided by 3: 7 875 / 3 = 2 625.

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Actually, one can immediately see that 7 875 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 7 875 is 5, so it is divisible by 5 and is therefore *not* prime.

For 7 875 to be a prime number, it would have been required that 7 875 has only two divisors, i.e., itself and 1.

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