Is 216 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 216, the answer is: No, 216 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 216) is as follows: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
For 216 to be a prime number, it would have been required that 216 has only two divisors, i.e., itself and 1.
Find out more:
As a consequence:
- 216 is a multiple of 1
- 216 is a multiple of 2
- 216 is a multiple of 3
- 216 is a multiple of 4
- 216 is a multiple of 6
- 216 is a multiple of 8
- 216 is a multiple of 9
- 216 is a multiple of 12
- 216 is a multiple of 18
- 216 is a multiple of 24
- 216 is a multiple of 27
- 216 is a multiple of 36
- 216 is a multiple of 54
- 216 is a multiple of 72
- 216 is a multiple of 108
For 216 to be a prime number, it would have been required that 216 has only two divisors, i.e., itself and 1.
Is 216 a deficient number?
No, 216 is not a deficient number: to be deficient, 216 should have been such that 216 is larger than the sum of its proper divisors, i.e., the divisors of 216 without 216 itself (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 108 = 384).
In fact, 216 is an abundant number; 216 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 108 = 384). The smallest abundant number is 12.