Is 872 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 872, the answer is: No, 872 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 872) is as follows: 1, 2, 4, 8, 109, 218, 436, 872.
For 872 to be a prime number, it would have been required that 872 has only two divisors, i.e., itself and 1.
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As a consequence:
- 872 is a multiple of 1
- 872 is a multiple of 2
- 872 is a multiple of 4
- 872 is a multiple of 8
- 872 is a multiple of 109
- 872 is a multiple of 218
- 872 is a multiple of 436
For 872 to be a prime number, it would have been required that 872 has only two divisors, i.e., itself and 1.
Is 872 a deficient number?
Yes, 872 is a deficient number, that is to say 872 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 872 without 872 itself (that is 1 + 2 + 4 + 8 + 109 + 218 + 436 = 778).