# Divisors of 1006

## Divisors of 1006

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

Accordingly:

1006 is multiplo of 1

1006 is multiplo of 2

1006 is multiplo of 503

1006 has 3 positive divisors

## Parity of 1006

In addition we can say of the number 1006 that it is even

1006 is an even number, as it is divisible by 2 : 1006/2 = 503

## The factors for 1006

The factors for 1006 are all the numbers between -1006 and 1006 , which divide 1006 without leaving any remainder. Since 1006 divided by -1006 is an integer, -1006 is a factor of 1006 .

Since 1006 divided by -1006 is a whole number, -1006 is a factor of 1006

Since 1006 divided by -503 is a whole number, -503 is a factor of 1006

Since 1006 divided by -2 is a whole number, -2 is a factor of 1006

Since 1006 divided by -1 is a whole number, -1 is a factor of 1006

Since 1006 divided by 1 is a whole number, 1 is a factor of 1006

Since 1006 divided by 2 is a whole number, 2 is a factor of 1006

Since 1006 divided by 503 is a whole number, 503 is a factor of 1006

## What are the multiples of 1006?

Multiples of 1006 are all integers divisible by 1006 , i.e. the remainder of the full division by 1006 is zero. There are infinite multiples of 1006. The smallest multiples of 1006 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1006 since 0 × 1006 = 0

1006 : in fact, 1006 is a multiple of itself, since 1006 is divisible by 1006 (it was 1006 / 1006 = 1, so the rest of this division is zero)

2012: in fact, 2012 = 1006 × 2

3018: in fact, 3018 = 1006 × 3

4024: in fact, 4024 = 1006 × 4

5030: in fact, 5030 = 1006 × 5

etc.

## Is 1006 a prime number?

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 1006, the answer is: No, 1006 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 1006). 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 31.718 ). 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.