Is 102 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
For 102, the answer is: No, 102 is not a prime number.
The list of all positive divisors (i.e., the list of all integers that divide 102) is as follows: 1, 2, 3, 6, 17, 34, 51, 102.
For 102 to be a prime number, it would have been required that 102 has only two divisors, i.e., itself and 1.
Find out more:
As a consequence:
- 102 is a multiple of 1
- 102 is a multiple of 2
- 102 is a multiple of 3
- 102 is a multiple of 6
- 102 is a multiple of 17
- 102 is a multiple of 34
- 102 is a multiple of 51
For 102 to be a prime number, it would have been required that 102 has only two divisors, i.e., itself and 1.
Is 102 a deficient number?
No, 102 is not a deficient number: to be deficient, 102 should have been such that 102 is larger than the sum of its proper divisors, i.e., the divisors of 102 without 102 itself (that is 1 + 2 + 3 + 6 + 17 + 34 + 51 = 114).
In fact, 102 is an abundant number; 102 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 17 + 34 + 51 = 114). The smallest abundant number is 12.