Is 96 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 96, the answer is: No, 96 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 96) is as follows: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
For 96 to be a prime number, it would have been required that 96 has only two divisors, i.e., itself and 1.
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As a consequence:
- 96 is a multiple of 1
- 96 is a multiple of 2
- 96 is a multiple of 3
- 96 is a multiple of 4
- 96 is a multiple of 6
- 96 is a multiple of 8
- 96 is a multiple of 12
- 96 is a multiple of 16
- 96 is a multiple of 24
- 96 is a multiple of 32
- 96 is a multiple of 48
For 96 to be a prime number, it would have been required that 96 has only two divisors, i.e., itself and 1.
Is 96 a deficient number?
No, 96 is not a deficient number: to be deficient, 96 should have been such that 96 is larger than the sum of its proper divisors, i.e., the divisors of 96 without 96 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 = 156).
In fact, 96 is an abundant number; 96 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 = 156). The smallest abundant number is 12.