# Is 172 a prime number?

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

For 172, the answer is: No, 172 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 172) is as follows: 1, 2, 4, 43, 86, 172.

For 172 to be a prime number, it would have been required that 172 has only two divisors, i.e., itself and 1.

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As a consequence:

- 172 is a multiple of 1
- 172 is a multiple of 2
- 172 is a multiple of 4
- 172 is a multiple of 43
- 172 is a multiple of 86

For 172 to be a prime number, it would have been required that 172 has only two divisors, i.e., itself and 1.

### Is 172 a deficient number?

Yes, 172 is a deficient number, that is to say 172 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 172 without 172 itself (that is 1 + 2 + 4 + 43 + 86 = 136).