9721is an odd number,as it is not divisible by 2
The factors for 9721 are all the numbers between -9721 and 9721 , which divide 9721 without leaving any remainder. Since 9721 divided by -9721 is an integer, -9721 is a factor of 9721 .
Since 9721 divided by -9721 is a whole number, -9721 is a factor of 9721
Since 9721 divided by -1 is a whole number, -1 is a factor of 9721
Multiples of 9721 are all integers divisible by 9721 , i.e. the remainder of the full division by 9721 is zero. There are infinite multiples of 9721. The smallest multiples of 9721 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9721, the answer is: yes, 9721 is a prime number because it only has two different divisors: 1 and itself (9721).
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 9721). 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 98.595 ). 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: 9719
Next prime number: 9733