In addition we can say of the number 9742 that it is even
9742 is an even number, as it is divisible by 2 : 9742/2 = 4871
The factors for 9742 are all the numbers between -9742 and 9742 , which divide 9742 without leaving any remainder. Since 9742 divided by -9742 is an integer, -9742 is a factor of 9742 .
Since 9742 divided by -9742 is a whole number, -9742 is a factor of 9742
Since 9742 divided by -4871 is a whole number, -4871 is a factor of 9742
Since 9742 divided by -2 is a whole number, -2 is a factor of 9742
Since 9742 divided by -1 is a whole number, -1 is a factor of 9742
Multiples of 9742 are all integers divisible by 9742 , i.e. the remainder of the full division by 9742 is zero. There are infinite multiples of 9742. The smallest multiples of 9742 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9742, the answer is: No, 9742 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 9742). 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 98.702 ). 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: 9743