9011is an odd number,as it is not divisible by 2
The factors for 9011 are all the numbers between -9011 and 9011 , which divide 9011 without leaving any remainder. Since 9011 divided by -9011 is an integer, -9011 is a factor of 9011 .
Since 9011 divided by -9011 is a whole number, -9011 is a factor of 9011
Since 9011 divided by -1 is a whole number, -1 is a factor of 9011
Since 9011 divided by 1 is a whole number, 1 is a factor of 9011
Multiples of 9011 are all integers divisible by 9011 , i.e. the remainder of the full division by 9011 is zero. There are infinite multiples of 9011. The smallest multiples of 9011 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9011 since 0 × 9011 = 0
9011 : in fact, 9011 is a multiple of itself, since 9011 is divisible by 9011 (it was 9011 / 9011 = 1, so the rest of this division is zero)
18022: in fact, 18022 = 9011 × 2
27033: in fact, 27033 = 9011 × 3
36044: in fact, 36044 = 9011 × 4
45055: in fact, 45055 = 9011 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9011, the answer is: yes, 9011 is a prime number because it only has two different divisors: 1 and itself (9011).
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 9011). 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 94.926 ). 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 Numbers: ... 9009, 9010
Previous prime number: 9007
Next prime number: 9013