# Is 290 a prime number?

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

For 290, the answer is: No, 290 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 290) is as follows: 1, 2, 5, 10, 29, 58, 145, 290.

For 290 to be a prime number, it would have been required that 290 has only two divisors, i.e., itself and 1.

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Actually, one can immediately see that 290 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 290 is 0, so it is divisible by 5 and is therefore *not* prime.

As a consequence:

- 290 is a multiple of 1
- 290 is a multiple of 2
- 290 is a multiple of 5
- 290 is a multiple of 10
- 290 is a multiple of 29
- 290 is a multiple of 58
- 290 is a multiple of 145

For 290 to be a prime number, it would have been required that 290 has only two divisors, i.e., itself and 1.

### Is 290 a deficient number?

Yes, 290 is a deficient number, that is to say 290 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 290 without 290 itself (that is 1 + 2 + 5 + 10 + 29 + 58 + 145 = 250).