Is 568 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 568, the answer is: No, 568 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 568) is as follows: 1, 2, 4, 8, 71, 142, 284, 568.
For 568 to be a prime number, it would have been required that 568 has only two divisors, i.e., itself and 1.
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As a consequence:
- 568 is a multiple of 1
- 568 is a multiple of 2
- 568 is a multiple of 4
- 568 is a multiple of 8
- 568 is a multiple of 71
- 568 is a multiple of 142
- 568 is a multiple of 284
For 568 to be a prime number, it would have been required that 568 has only two divisors, i.e., itself and 1.
Is 568 a deficient number?
Yes, 568 is a deficient number, that is to say 568 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 568 without 568 itself (that is 1 + 2 + 4 + 8 + 71 + 142 + 284 = 512).