In addition we can say of the number 16004 that it is even
16004 is an even number, as it is divisible by 2 : 16004/2 = 8002
The factors for 16004 are all the numbers between -16004 and 16004 , which divide 16004 without leaving any remainder. Since 16004 divided by -16004 is an integer, -16004 is a factor of 16004 .
Since 16004 divided by -16004 is a whole number, -16004 is a factor of 16004
Since 16004 divided by -8002 is a whole number, -8002 is a factor of 16004
Since 16004 divided by -4001 is a whole number, -4001 is a factor of 16004
Since 16004 divided by -4 is a whole number, -4 is a factor of 16004
Since 16004 divided by -2 is a whole number, -2 is a factor of 16004
Since 16004 divided by -1 is a whole number, -1 is a factor of 16004
Since 16004 divided by 1 is a whole number, 1 is a factor of 16004
Since 16004 divided by 2 is a whole number, 2 is a factor of 16004
Since 16004 divided by 4 is a whole number, 4 is a factor of 16004
Since 16004 divided by 4001 is a whole number, 4001 is a factor of 16004
Since 16004 divided by 8002 is a whole number, 8002 is a factor of 16004
Multiples of 16004 are all integers divisible by 16004 , i.e. the remainder of the full division by 16004 is zero. There are infinite multiples of 16004. The smallest multiples of 16004 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 16004 since 0 × 16004 = 0
16004 : in fact, 16004 is a multiple of itself, since 16004 is divisible by 16004 (it was 16004 / 16004 = 1, so the rest of this division is zero)
32008: in fact, 32008 = 16004 × 2
48012: in fact, 48012 = 16004 × 3
64016: in fact, 64016 = 16004 × 4
80020: in fact, 80020 = 16004 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 16004, the answer is: No, 16004 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 16004). 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 126.507 ). 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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