9767is an odd number,as it is not divisible by 2
The factors for 9767 are all the numbers between -9767 and 9767 , which divide 9767 without leaving any remainder. Since 9767 divided by -9767 is an integer, -9767 is a factor of 9767 .
Since 9767 divided by -9767 is a whole number, -9767 is a factor of 9767
Since 9767 divided by -1 is a whole number, -1 is a factor of 9767
Multiples of 9767 are all integers divisible by 9767 , i.e. the remainder of the full division by 9767 is zero. There are infinite multiples of 9767. The smallest multiples of 9767 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9767, the answer is: yes, 9767 is a prime number because it only has two different divisors: 1 and itself (9767).
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 9767). 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 98.828 ). 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: 9749
Next prime number: 9769