Is 304 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 304, the answer is: No, 304 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 304) is as follows: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304.
For 304 to be a prime number, it would have been required that 304 has only two divisors, i.e., itself and 1.
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As a consequence:
- 304 is a multiple of 1
- 304 is a multiple of 2
- 304 is a multiple of 4
- 304 is a multiple of 8
- 304 is a multiple of 16
- 304 is a multiple of 19
- 304 is a multiple of 38
- 304 is a multiple of 76
- 304 is a multiple of 152
For 304 to be a prime number, it would have been required that 304 has only two divisors, i.e., itself and 1.
Is 304 a deficient number?
No, 304 is not a deficient number: to be deficient, 304 should have been such that 304 is larger than the sum of its proper divisors, i.e., the divisors of 304 without 304 itself (that is 1 + 2 + 4 + 8 + 16 + 19 + 38 + 76 + 152 = 316).
In fact, 304 is an abundant number; 304 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 8 + 16 + 19 + 38 + 76 + 152 = 316). The smallest abundant number is 12.