# Is 790 a prime number?

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

For 790, the answer is: No, 790 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 790) is as follows: 1, 2, 5, 10, 79, 158, 395, 790.

For 790 to be a prime number, it would have been required that 790 has only two divisors, i.e., itself and 1.

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Actually, one can immediately see that 790 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 790 is 0, so it is divisible by 5 and is therefore *not* prime.

As a consequence:

- 790 is a multiple of 1
- 790 is a multiple of 2
- 790 is a multiple of 5
- 790 is a multiple of 10
- 790 is a multiple of 79
- 790 is a multiple of 158
- 790 is a multiple of 395

For 790 to be a prime number, it would have been required that 790 has only two divisors, i.e., itself and 1.

### Is 790 a deficient number?

Yes, 790 is a deficient number, that is to say 790 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 790 without 790 itself (that is 1 + 2 + 5 + 10 + 79 + 158 + 395 = 650).