# Is 8 a prime number?

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

For 8, the answer is: No, 8 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 8) is as follows: 1, 2, 4, 8.

For 8 to be a prime number, it would have been required that 8 has only two divisors, i.e., itself and 1.

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As a consequence:

For 8 to be a prime number, it would have been required that 8 has only two divisors, i.e., itself and 1.

### Is 8 a deficient number?

Yes, 8 is a deficient number, that is to say 8 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8 without 8 itself (that is 1 + 2 + 4 = 7).