Divisors of 8004
The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
8004 is multiplo of 1
8004 is multiplo of 2
8004 is multiplo of 3
8004 is multiplo of 4
8004 is multiplo of 6
8004 is multiplo of 12
8004 is multiplo of 23
8004 is multiplo of 29
8004 is multiplo of 46
8004 is multiplo of 58
8004 is multiplo of 69
8004 is multiplo of 87
8004 is multiplo of 92
8004 is multiplo of 116
8004 is multiplo of 138
8004 is multiplo of 174
8004 is multiplo of 276
8004 is multiplo of 348
8004 is multiplo of 667
8004 is multiplo of 1334
8004 is multiplo of 2001
8004 is multiplo of 2668
8004 is multiplo of 4002
8004 has 23 positive divisors
Parity of 8004
In addition we can say of the number 8004 that it is even
8004 is an even number, as it is divisible by 2 : 8004/2 = 4002
The factors for 8004
The factors for 8004 are all the numbers between -8004 and 8004 , which divide 8004 without leaving any remainder. Since 8004 divided by -8004 is an integer, -8004 is a factor of 8004 .
Since 8004 divided by -8004 is a whole number, -8004 is a factor of 8004
Since 8004 divided by -4002 is a whole number, -4002 is a factor of 8004
Since 8004 divided by -2668 is a whole number, -2668 is a factor of 8004
Since 8004 divided by -2001 is a whole number, -2001 is a factor of 8004
Since 8004 divided by -1334 is a whole number, -1334 is a factor of 8004
Since 8004 divided by -667 is a whole number, -667 is a factor of 8004
Since 8004 divided by -348 is a whole number, -348 is a factor of 8004
Since 8004 divided by -276 is a whole number, -276 is a factor of 8004
Since 8004 divided by -174 is a whole number, -174 is a factor of 8004
Since 8004 divided by -138 is a whole number, -138 is a factor of 8004
Since 8004 divided by -116 is a whole number, -116 is a factor of 8004
Since 8004 divided by -92 is a whole number, -92 is a factor of 8004
Since 8004 divided by -87 is a whole number, -87 is a factor of 8004
Since 8004 divided by -69 is a whole number, -69 is a factor of 8004
Since 8004 divided by -58 is a whole number, -58 is a factor of 8004
Since 8004 divided by -46 is a whole number, -46 is a factor of 8004
Since 8004 divided by -29 is a whole number, -29 is a factor of 8004
Since 8004 divided by -23 is a whole number, -23 is a factor of 8004
Since 8004 divided by -12 is a whole number, -12 is a factor of 8004
Since 8004 divided by -6 is a whole number, -6 is a factor of 8004
Since 8004 divided by -4 is a whole number, -4 is a factor of 8004
Since 8004 divided by -3 is a whole number, -3 is a factor of 8004
Since 8004 divided by -2 is a whole number, -2 is a factor of 8004
Since 8004 divided by -1 is a whole number, -1 is a factor of 8004
Since 8004 divided by 1 is a whole number, 1 is a factor of 8004
Since 8004 divided by 2 is a whole number, 2 is a factor of 8004
Since 8004 divided by 3 is a whole number, 3 is a factor of 8004
Since 8004 divided by 4 is a whole number, 4 is a factor of 8004
Since 8004 divided by 6 is a whole number, 6 is a factor of 8004
Since 8004 divided by 12 is a whole number, 12 is a factor of 8004
Since 8004 divided by 23 is a whole number, 23 is a factor of 8004
Since 8004 divided by 29 is a whole number, 29 is a factor of 8004
Since 8004 divided by 46 is a whole number, 46 is a factor of 8004
Since 8004 divided by 58 is a whole number, 58 is a factor of 8004
Since 8004 divided by 69 is a whole number, 69 is a factor of 8004
Since 8004 divided by 87 is a whole number, 87 is a factor of 8004
Since 8004 divided by 92 is a whole number, 92 is a factor of 8004
Since 8004 divided by 116 is a whole number, 116 is a factor of 8004
Since 8004 divided by 138 is a whole number, 138 is a factor of 8004
Since 8004 divided by 174 is a whole number, 174 is a factor of 8004
Since 8004 divided by 276 is a whole number, 276 is a factor of 8004
Since 8004 divided by 348 is a whole number, 348 is a factor of 8004
Since 8004 divided by 667 is a whole number, 667 is a factor of 8004
Since 8004 divided by 1334 is a whole number, 1334 is a factor of 8004
Since 8004 divided by 2001 is a whole number, 2001 is a factor of 8004
Since 8004 divided by 2668 is a whole number, 2668 is a factor of 8004
Since 8004 divided by 4002 is a whole number, 4002 is a factor of 8004
What are the multiples of 8004?
Multiples of 8004 are all integers divisible by 8004 , i.e. the remainder of the full division by 8004 is zero. There are infinite multiples of 8004. The smallest multiples of 8004 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8004 since 0 × 8004 = 0
8004 : in fact, 8004 is a multiple of itself, since 8004 is divisible by 8004 (it was 8004 / 8004 = 1, so the rest of this division is zero)
16008: in fact, 16008 = 8004 × 2
24012: in fact, 24012 = 8004 × 3
32016: in fact, 32016 = 8004 × 4
40020: in fact, 40020 = 8004 × 5
etc.
Is 8004 a prime number?
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8004, the answer is: No, 8004 is not a prime number.
How do you determine if a number is prime?
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 8004). 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 89.465 ). 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.
Numbers about 8004
Previous Numbers: ... 8002, 8003
Prime numbers closer to 8004
Previous prime number: 7993
Next prime number: 8009