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16003is an odd number,as it is not divisible by 2
The factors for 16003 are all the numbers between -16003 and 16003 , which divide 16003 without leaving any remainder. Since 16003 divided by -16003 is an integer, -16003 is a factor of 16003 .
Since 16003 divided by -16003 is a whole number, -16003 is a factor of 16003
Since 16003 divided by -1231 is a whole number, -1231 is a factor of 16003
Since 16003 divided by -13 is a whole number, -13 is a factor of 16003
Since 16003 divided by -1 is a whole number, -1 is a factor of 16003
Since 16003 divided by 1 is a whole number, 1 is a factor of 16003
Since 16003 divided by 13 is a whole number, 13 is a factor of 16003
Since 16003 divided by 1231 is a whole number, 1231 is a factor of 16003
Multiples of 16003 are all integers divisible by 16003 , i.e. the remainder of the full division by 16003 is zero. There are infinite multiples of 16003. The smallest multiples of 16003 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16003 since 0 × 16003 = 0
16003 : in fact, 16003 is a multiple of itself, since 16003 is divisible by 16003 (it was 16003 / 16003 = 1, so the rest of this division is zero)
32006: in fact, 32006 = 16003 × 2
48009: in fact, 48009 = 16003 × 3
64012: in fact, 64012 = 16003 × 4
80015: in fact, 80015 = 16003 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16003, the answer is: No, 16003 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 16003). 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 126.503 ). 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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