In addition we can say of the number 1004 that it is even
1004 is an even number, as it is divisible by 2 : 1004/2 = 502
The factors for 1004 are all the numbers between -1004 and 1004 , which divide 1004 without leaving any remainder. Since 1004 divided by -1004 is an integer, -1004 is a factor of 1004 .
Since 1004 divided by -1004 is a whole number, -1004 is a factor of 1004
Since 1004 divided by -502 is a whole number, -502 is a factor of 1004
Since 1004 divided by -251 is a whole number, -251 is a factor of 1004
Since 1004 divided by -4 is a whole number, -4 is a factor of 1004
Since 1004 divided by -2 is a whole number, -2 is a factor of 1004
Since 1004 divided by -1 is a whole number, -1 is a factor of 1004
Multiples of 1004 are all integers divisible by 1004 , i.e. the remainder of the full division by 1004 is zero. There are infinite multiples of 1004. The smallest multiples of 1004 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1004, the answer is: No, 1004 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 1004). 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 31.686 ). 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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Next prime number: 1009