Is 117 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 117, the answer is: No, 117 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 117) is as follows: 1, 3, 9, 13, 39, 117.
For 117 to be a prime number, it would have been required that 117 has only two divisors, i.e., itself and 1.
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As a consequence:
- 117 is a multiple of 1
- 117 is a multiple of 3
- 117 is a multiple of 9
- 117 is a multiple of 13
- 117 is a multiple of 39
For 117 to be a prime number, it would have been required that 117 has only two divisors, i.e., itself and 1.
Is 117 a deficient number?
Yes, 117 is a deficient number, that is to say 117 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 117 without 117 itself (that is 1 + 3 + 9 + 13 + 39 = 65).