In addition we can say of the number 2138 that it is even
2138 is an even number, as it is divisible by 2 : 2138/2 = 1069
The factors for 2138 are all the numbers between -2138 and 2138 , which divide 2138 without leaving any remainder. Since 2138 divided by -2138 is an integer, -2138 is a factor of 2138 .
Since 2138 divided by -2138 is a whole number, -2138 is a factor of 2138
Since 2138 divided by -1069 is a whole number, -1069 is a factor of 2138
Since 2138 divided by -2 is a whole number, -2 is a factor of 2138
Since 2138 divided by -1 is a whole number, -1 is a factor of 2138
Multiples of 2138 are all integers divisible by 2138 , i.e. the remainder of the full division by 2138 is zero. There are infinite multiples of 2138. The smallest multiples of 2138 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2138, the answer is: No, 2138 is not a prime number.
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 2138). 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 46.239 ). 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 prime number: 2137
Next prime number: 2141