# Is 351 a prime number?

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

For 351, the answer is: No, 351 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 351) is as follows: 1, 3, 9, 13, 27, 39, 117, 351.

For 351 to be a prime number, it would have been required that 351 has only two divisors, i.e., itself and 1.

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As a consequence:

- 351 is a multiple of 1
- 351 is a multiple of 3
- 351 is a multiple of 9
- 351 is a multiple of 13
- 351 is a multiple of 27
- 351 is a multiple of 39
- 351 is a multiple of 117

For 351 to be a prime number, it would have been required that 351 has only two divisors, i.e., itself and 1.

### Is 351 a deficient number?

Yes, 351 is a deficient number, that is to say 351 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 351 without 351 itself (that is 1 + 3 + 9 + 13 + 27 + 39 + 117 = 209).