103is an odd number,as it is not divisible by 2
The factors for 103 are all the numbers between -103 and 103 , which divide 103 without leaving any remainder. Since 103 divided by -103 is an integer, -103 is a factor of 103 .
Since 103 divided by -103 is a whole number, -103 is a factor of 103
Since 103 divided by -1 is a whole number, -1 is a factor of 103
Since 103 divided by 1 is a whole number, 1 is a factor of 103
Multiples of 103 are all integers divisible by 103 , i.e. the remainder of the full division by 103 is zero. There are infinite multiples of 103. The smallest multiples of 103 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 103 since 0 × 103 = 0
103 : in fact, 103 is a multiple of itself, since 103 is divisible by 103 (it was 103 / 103 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 103, the answer is: yes, 103 is a prime number because it only has two different divisors: 1 and itself (103).
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 103). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 10.149 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
Previous Numbers: ... 101, 102
Previous prime number: 101
Next prime number: 107