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In addition we can say of the number **1022 that it is even**

1022 is an even number, as it is divisible by 2 : 1022/2 = 511

The factors for 1022 are all the numbers between -1022 and 1022 , which divide 1022 without leaving any remainder. Since 1022 divided by -1022 is an integer, -1022 is a factor of 1022 .

Since 1022 divided by -1022 is a whole number, -1022 is a factor of 1022

Since 1022 divided by -511 is a whole number, -511 is a factor of 1022

Since 1022 divided by -146 is a whole number, -146 is a factor of 1022

Since 1022 divided by -73 is a whole number, -73 is a factor of 1022

Since 1022 divided by -14 is a whole number, -14 is a factor of 1022

Since 1022 divided by -7 is a whole number, -7 is a factor of 1022

Since 1022 divided by -2 is a whole number, -2 is a factor of 1022

Since 1022 divided by -1 is a whole number, -1 is a factor of 1022

Since 1022 divided by 1 is a whole number, 1 is a factor of 1022

Since 1022 divided by 2 is a whole number, 2 is a factor of 1022

Since 1022 divided by 7 is a whole number, 7 is a factor of 1022

Since 1022 divided by 14 is a whole number, 14 is a factor of 1022

Since 1022 divided by 73 is a whole number, 73 is a factor of 1022

Since 1022 divided by 146 is a whole number, 146 is a factor of 1022

Since 1022 divided by 511 is a whole number, 511 is a factor of 1022

Multiples of 1022 are all integers divisible by 1022 , i.e. the remainder of the full division by 1022 is zero. There are infinite multiples of 1022. The smallest multiples of 1022 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1022 since 0 × 1022 = 0

1022 : in fact, 1022 is a multiple of itself, since 1022 is divisible by 1022 (it was 1022 / 1022 = 1, so the rest of this division is zero)

2044: in fact, 2044 = 1022 × 2

3066: in fact, 3066 = 1022 × 3

4088: in fact, 4088 = 1022 × 4

5110: in fact, 5110 = 1022 × 5

etc.

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

for 1022, the answer is:
**No, 1022 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 1022). 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 31.969 ). 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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