4937is an odd number,as it is not divisible by 2
The factors for 4937 are all the numbers between -4937 and 4937 , which divide 4937 without leaving any remainder. Since 4937 divided by -4937 is an integer, -4937 is a factor of 4937 .
Since 4937 divided by -4937 is a whole number, -4937 is a factor of 4937
Since 4937 divided by -1 is a whole number, -1 is a factor of 4937
Multiples of 4937 are all integers divisible by 4937 , i.e. the remainder of the full division by 4937 is zero. There are infinite multiples of 4937. The smallest multiples of 4937 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4937, the answer is: yes, 4937 is a prime number because it only has two different divisors: 1 and itself (4937).
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 4937). 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 70.264 ). 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.
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Next prime number: 4943