# Divisors of 1007

## Divisors of 1007

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

Accordingly:

1007 is multiplo of 1

1007 is multiplo of 19

1007 is multiplo of 53

1007 has 3 positive divisors

## Parity of 1007

1007is an odd number,as it is not divisible by 2

## The factors for 1007

The factors for 1007 are all the numbers between -1007 and 1007 , which divide 1007 without leaving any remainder. Since 1007 divided by -1007 is an integer, -1007 is a factor of 1007 .

Since 1007 divided by -1007 is a whole number, -1007 is a factor of 1007

Since 1007 divided by -53 is a whole number, -53 is a factor of 1007

Since 1007 divided by -19 is a whole number, -19 is a factor of 1007

Since 1007 divided by -1 is a whole number, -1 is a factor of 1007

Since 1007 divided by 1 is a whole number, 1 is a factor of 1007

Since 1007 divided by 19 is a whole number, 19 is a factor of 1007

Since 1007 divided by 53 is a whole number, 53 is a factor of 1007

## What are the multiples of 1007?

Multiples of 1007 are all integers divisible by 1007 , i.e. the remainder of the full division by 1007 is zero. There are infinite multiples of 1007. The smallest multiples of 1007 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1007 since 0 × 1007 = 0

1007 : in fact, 1007 is a multiple of itself, since 1007 is divisible by 1007 (it was 1007 / 1007 = 1, so the rest of this division is zero)

2014: in fact, 2014 = 1007 × 2

3021: in fact, 3021 = 1007 × 3

4028: in fact, 4028 = 1007 × 4

5035: in fact, 5035 = 1007 × 5

etc.

## Is 1007 a prime number?

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

for 1007, the answer is: No, 1007 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 1007). 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 31.733 ). 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.