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9013is an odd number,as it is not divisible by 2
The factors for 9013 are all the numbers between -9013 and 9013 , which divide 9013 without leaving any remainder. Since 9013 divided by -9013 is an integer, -9013 is a factor of 9013 .
Since 9013 divided by -9013 is a whole number, -9013 is a factor of 9013
Since 9013 divided by -1 is a whole number, -1 is a factor of 9013
Since 9013 divided by 1 is a whole number, 1 is a factor of 9013
Multiples of 9013 are all integers divisible by 9013 , i.e. the remainder of the full division by 9013 is zero. There are infinite multiples of 9013. The smallest multiples of 9013 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9013 since 0 × 9013 = 0
9013 : in fact, 9013 is a multiple of itself, since 9013 is divisible by 9013 (it was 9013 / 9013 = 1, so the rest of this division is zero)
18026: in fact, 18026 = 9013 × 2
27039: in fact, 27039 = 9013 × 3
36052: in fact, 36052 = 9013 × 4
45065: in fact, 45065 = 9013 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9013, the answer is: yes, 9013 is a prime number because it only has two different divisors: 1 and itself (9013).
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 9013). 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 94.937 ). 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.
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