Is 712 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 712, the answer is: No, 712 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 712) is as follows: 1, 2, 4, 8, 89, 178, 356, 712.
For 712 to be a prime number, it would have been required that 712 has only two divisors, i.e., itself and 1.
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As a consequence:
- 712 is a multiple of 1
- 712 is a multiple of 2
- 712 is a multiple of 4
- 712 is a multiple of 8
- 712 is a multiple of 89
- 712 is a multiple of 178
- 712 is a multiple of 356
For 712 to be a prime number, it would have been required that 712 has only two divisors, i.e., itself and 1.
Is 712 a deficient number?
Yes, 712 is a deficient number, that is to say 712 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 712 without 712 itself (that is 1 + 2 + 4 + 8 + 89 + 178 + 356 = 638).