Divisors of 1004

Divisors of 1004

The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :

Accordingly:

1004 is multiplo of 1

1004 is multiplo of 2

1004 is multiplo of 4

1004 is multiplo of 251

1004 is multiplo of 502

1004 has 5 positive divisors

Parity of 1004

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

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

Since 1004 divided by 1 is a whole number, 1 is a factor of 1004

Since 1004 divided by 2 is a whole number, 2 is a factor of 1004

Since 1004 divided by 4 is a whole number, 4 is a factor of 1004

Since 1004 divided by 251 is a whole number, 251 is a factor of 1004

Since 1004 divided by 502 is a whole number, 502 is a factor of 1004

What are the multiples 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:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1004 since 0 × 1004 = 0

1004 : in fact, 1004 is a multiple of itself, since 1004 is divisible by 1004 (it was 1004 / 1004 = 1, so the rest of this division is zero)

2008: in fact, 2008 = 1004 × 2

3012: in fact, 3012 = 1004 × 3

4016: in fact, 4016 = 1004 × 4

5020: in fact, 5020 = 1004 × 5

etc.

Is 1004 a prime number?

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.

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 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.