# Is 50 a prime number?

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

For 50, the answer is: No, 50 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 50) is as follows: 1, 2, 5, 10, 25, 50.

For 50 to be a prime number, it would have been required that 50 has only two divisors, i.e., itself and 1.

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Actually, one can immediately see that 50 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 50 is 0, so it is divisible by 5 and is therefore *not* prime.

As a consequence:

- 50 is a multiple of 1
- 50 is a multiple of 2
- 50 is a multiple of 5
- 50 is a multiple of 10
- 50 is a multiple of 25

For 50 to be a prime number, it would have been required that 50 has only two divisors, i.e., itself and 1.

### Is 50 a deficient number?

Yes, 50 is a deficient number, that is to say 50 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 50 without 50 itself (that is 1 + 2 + 5 + 10 + 25 = 43).