# Divisors of 1021

## Divisors of 1021

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

• 1
• 1021

Accordingly:

1021 is multiplo of 1

1021 has 1 positive divisors

## Parity of 1021

1021is an odd number,as it is not divisible by 2

## The factors for 1021

The factors for 1021 are all the numbers between -1021 and 1021 , which divide 1021 without leaving any remainder. Since 1021 divided by -1021 is an integer, -1021 is a factor of 1021 .

Since 1021 divided by -1021 is a whole number, -1021 is a factor of 1021

Since 1021 divided by -1 is a whole number, -1 is a factor of 1021

Since 1021 divided by 1 is a whole number, 1 is a factor of 1021

## What are the multiples of 1021?

Multiples of 1021 are all integers divisible by 1021 , i.e. the remainder of the full division by 1021 is zero. There are infinite multiples of 1021. The smallest multiples of 1021 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1021 since 0 × 1021 = 0

1021 : in fact, 1021 is a multiple of itself, since 1021 is divisible by 1021 (it was 1021 / 1021 = 1, so the rest of this division is zero)

2042: in fact, 2042 = 1021 × 2

3063: in fact, 3063 = 1021 × 3

4084: in fact, 4084 = 1021 × 4

5105: in fact, 5105 = 1021 × 5

etc.

## Is 1021 a prime number?

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

for 1021, the answer is: yes, 1021 is a prime number because it only has two different divisors: 1 and itself (1021).

## 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 1021). 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 31.953 ). 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.