9743is an odd number,as it is not divisible by 2
The factors for 9743 are all the numbers between -9743 and 9743 , which divide 9743 without leaving any remainder. Since 9743 divided by -9743 is an integer, -9743 is a factor of 9743 .
Since 9743 divided by -9743 is a whole number, -9743 is a factor of 9743
Since 9743 divided by -1 is a whole number, -1 is a factor of 9743
Multiples of 9743 are all integers divisible by 9743 , i.e. the remainder of the full division by 9743 is zero. There are infinite multiples of 9743. The smallest multiples of 9743 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9743, the answer is: yes, 9743 is a prime number because it only has two different divisors: 1 and itself (9743).
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 9743). 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 98.707 ). 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: 9739
Next prime number: 9749