# Is 495 a prime number?

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

For 495, the answer is: No, 495 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 495) is as follows: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.

For 495 to be a prime number, it would have been required that 495 has only two divisors, i.e., itself and 1.

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Actually, one can immediately see that 495 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 495 is 5, so it is divisible by 5 and is therefore *not* prime.

As a consequence:

- 495 is a multiple of 1
- 495 is a multiple of 3
- 495 is a multiple of 5
- 495 is a multiple of 9
- 495 is a multiple of 11
- 495 is a multiple of 15
- 495 is a multiple of 33
- 495 is a multiple of 45
- 495 is a multiple of 55
- 495 is a multiple of 99
- 495 is a multiple of 165

For 495 to be a prime number, it would have been required that 495 has only two divisors, i.e., itself and 1.

### Is 495 a deficient number?

Yes, 495 is a deficient number, that is to say 495 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 495 without 495 itself (that is 1 + 3 + 5 + 9 + 11 + 15 + 33 + 45 + 55 + 99 + 165 = 441).