The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
Accordingly:
10004 is multiplo of 1
10004 is multiplo of 2
10004 is multiplo of 4
10004 is multiplo of 41
10004 is multiplo of 61
10004 is multiplo of 82
10004 is multiplo of 122
10004 is multiplo of 164
10004 is multiplo of 244
10004 is multiplo of 2501
10004 is multiplo of 5002
10004 has 11 positive divisors
In addition we can say of the number 10004 that it is even
10004 is an even number, as it is divisible by 2 : 10004/2 = 5002
The factors for 10004 are all the numbers between -10004 and 10004 , which divide 10004 without leaving any remainder. Since 10004 divided by -10004 is an integer, -10004 is a factor of 10004 .
Since 10004 divided by -10004 is a whole number, -10004 is a factor of 10004
Since 10004 divided by -5002 is a whole number, -5002 is a factor of 10004
Since 10004 divided by -2501 is a whole number, -2501 is a factor of 10004
Since 10004 divided by -244 is a whole number, -244 is a factor of 10004
Since 10004 divided by -164 is a whole number, -164 is a factor of 10004
Since 10004 divided by -122 is a whole number, -122 is a factor of 10004
Since 10004 divided by -82 is a whole number, -82 is a factor of 10004
Since 10004 divided by -61 is a whole number, -61 is a factor of 10004
Since 10004 divided by -41 is a whole number, -41 is a factor of 10004
Since 10004 divided by -4 is a whole number, -4 is a factor of 10004
Since 10004 divided by -2 is a whole number, -2 is a factor of 10004
Since 10004 divided by -1 is a whole number, -1 is a factor of 10004
Since 10004 divided by 1 is a whole number, 1 is a factor of 10004
Since 10004 divided by 2 is a whole number, 2 is a factor of 10004
Since 10004 divided by 4 is a whole number, 4 is a factor of 10004
Since 10004 divided by 41 is a whole number, 41 is a factor of 10004
Since 10004 divided by 61 is a whole number, 61 is a factor of 10004
Since 10004 divided by 82 is a whole number, 82 is a factor of 10004
Since 10004 divided by 122 is a whole number, 122 is a factor of 10004
Since 10004 divided by 164 is a whole number, 164 is a factor of 10004
Since 10004 divided by 244 is a whole number, 244 is a factor of 10004
Since 10004 divided by 2501 is a whole number, 2501 is a factor of 10004
Since 10004 divided by 5002 is a whole number, 5002 is a factor of 10004
Multiples of 10004 are all integers divisible by 10004 , i.e. the remainder of the full division by 10004 is zero. There are infinite multiples of 10004. The smallest multiples of 10004 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 10004 since 0 × 10004 = 0
10004 : in fact, 10004 is a multiple of itself, since 10004 is divisible by 10004 (it was 10004 / 10004 = 1, so the rest of this division is zero)
20008: in fact, 20008 = 10004 × 2
30012: in fact, 30012 = 10004 × 3
40016: in fact, 40016 = 10004 × 4
50020: in fact, 50020 = 10004 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 10004, the answer is: No, 10004 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 10004). 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 100.02 ). 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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