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13513is an odd number,as it is not divisible by 2
The factors for 13513 are all the numbers between -13513 and 13513 , which divide 13513 without leaving any remainder. Since 13513 divided by -13513 is an integer, -13513 is a factor of 13513 .
Since 13513 divided by -13513 is a whole number, -13513 is a factor of 13513
Since 13513 divided by -1 is a whole number, -1 is a factor of 13513
Since 13513 divided by 1 is a whole number, 1 is a factor of 13513
Multiples of 13513 are all integers divisible by 13513 , i.e. the remainder of the full division by 13513 is zero. There are infinite multiples of 13513. The smallest multiples of 13513 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 13513 since 0 × 13513 = 0
13513 : in fact, 13513 is a multiple of itself, since 13513 is divisible by 13513 (it was 13513 / 13513 = 1, so the rest of this division is zero)
27026: in fact, 27026 = 13513 × 2
40539: in fact, 40539 = 13513 × 3
54052: in fact, 54052 = 13513 × 4
67565: in fact, 67565 = 13513 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 13513, the answer is: yes, 13513 is a prime number because it only has two different divisors: 1 and itself (13513).
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 13513). 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 116.245 ). 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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