10037is an odd number,as it is not divisible by 2
The factors for 10037 are all the numbers between -10037 and 10037 , which divide 10037 without leaving any remainder. Since 10037 divided by -10037 is an integer, -10037 is a factor of 10037 .
Since 10037 divided by -10037 is a whole number, -10037 is a factor of 10037
Since 10037 divided by -1 is a whole number, -1 is a factor of 10037
Multiples of 10037 are all integers divisible by 10037 , i.e. the remainder of the full division by 10037 is zero. There are infinite multiples of 10037. The smallest multiples of 10037 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 10037, the answer is: yes, 10037 is a prime number because it only has two different divisors: 1 and itself (10037).
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 10037). 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 100.185 ). 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: 10009
Next prime number: 10039